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Finding the Fourth Proportional to 31,115.64, 46,681.47 and 8,930.64

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Solution

The fourth proportional to 31,115.64, 46,681.47 and 8,930.64 is: 13,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115.64 : 46,681.47 = 8,930.64 : x
  2. Step 2: Convert to fraction form
    31,115.64/46,681.47 = 8,930.64/x
  3. Step 3: Cross multiply
    31,115.64x = 46,681.47 × 8,930.64
  4. Step 4: Simplify right side
    31,115.64x = 416,895,403.24
  5. Step 5: Solve for x
    x = 416,895,403.24/31,115.64
  6. Step 6: Final answer
    x = 13,398.26

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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.