Home / 31,547.64-47,324-10,486.92

Finding the Fourth Proportional to 31,547.64, 47,324 and 10,486.92

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Solution

The fourth proportional to 31,547.64, 47,324 and 10,486.92 is: 15,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,547.64 : 47,324 = 10,486.92 : x
  2. Step 2: Convert to fraction form
    31,547.64/47,324 = 10,486.92/x
  3. Step 3: Cross multiply
    31,547.64x = 47,324 × 10,486.92
  4. Step 4: Simplify right side
    31,547.64x = 496,283,002.08
  5. Step 5: Solve for x
    x = 496,283,002.08/31,547.64
  6. Step 6: Final answer
    x = 15,731.22

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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.