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Finding the Fourth Proportional to 1,503.68, 2,075.09 and 874.24

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Solution

The fourth proportional to 1,503.68, 2,075.09 and 874.24 is: 1,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.68 : 2,075.09 = 874.24 : x
  2. Step 2: Convert to fraction form
    1,503.68/2,075.09 = 874.24/x
  3. Step 3: Cross multiply
    1,503.68x = 2,075.09 × 874.24
  4. Step 4: Simplify right side
    1,503.68x = 1,814,117.12
  5. Step 5: Solve for x
    x = 1,814,117.12/1,503.68
  6. Step 6: Final answer
    x = 1,206.46

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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.