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Finding the Fourth Proportional to 1,503.85, 2,074.85 and 874.25

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Solution

The fourth proportional to 1,503.85, 2,074.85 and 874.25 is: 1,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.85 : 2,074.85 = 874.25 : x
  2. Step 2: Convert to fraction form
    1,503.85/2,074.85 = 874.25/x
  3. Step 3: Cross multiply
    1,503.85x = 2,074.85 × 874.25
  4. Step 4: Simplify right side
    1,503.85x = 1,813,933.24
  5. Step 5: Solve for x
    x = 1,813,933.24/1,503.85
  6. Step 6: Final answer
    x = 1,206.20

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.