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Finding the Fourth Proportional to 2,140.32, 3,210.48 and 580.33

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Solution

The fourth proportional to 2,140.32, 3,210.48 and 580.33 is: 870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.32 : 3,210.48 = 580.33 : x
  2. Step 2: Convert to fraction form
    2,140.32/3,210.48 = 580.33/x
  3. Step 3: Cross multiply
    2,140.32x = 3,210.48 × 580.33
  4. Step 4: Simplify right side
    2,140.32x = 1,863,121.81
  5. Step 5: Solve for x
    x = 1,863,121.81/2,140.32
  6. Step 6: Final answer
    x = 870.49

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.