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Finding the Fourth Proportional to 10,491.67, 15,728.14 and 3,918.16

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Solution

The fourth proportional to 10,491.67, 15,728.14 and 3,918.16 is: 5,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.67 : 15,728.14 = 3,918.16 : x
  2. Step 2: Convert to fraction form
    10,491.67/15,728.14 = 3,918.16/x
  3. Step 3: Cross multiply
    10,491.67x = 15,728.14 × 3,918.16
  4. Step 4: Simplify right side
    10,491.67x = 61,625,369.02
  5. Step 5: Solve for x
    x = 61,625,369.02/10,491.67
  6. Step 6: Final answer
    x = 5,873.74

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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.