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Finding the Fourth Proportional to 10,645.71, 15,980.31 and 6,208.13

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Solution

The fourth proportional to 10,645.71, 15,980.31 and 6,208.13 is: 9,319.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,645.71 : 15,980.31 = 6,208.13 : x
  2. Step 2: Convert to fraction form
    10,645.71/15,980.31 = 6,208.13/x
  3. Step 3: Cross multiply
    10,645.71x = 15,980.31 × 6,208.13
  4. Step 4: Simplify right side
    10,645.71x = 99,207,841.92
  5. Step 5: Solve for x
    x = 99,207,841.92/10,645.71
  6. Step 6: Final answer
    x = 9,319.04

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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.