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Finding the Fourth Proportional to 31,291.61, 46,937.51 and 7,918.04

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Solution

The fourth proportional to 31,291.61, 46,937.51 and 7,918.04 is: 11,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.61 : 46,937.51 = 7,918.04 : x
  2. Step 2: Convert to fraction form
    31,291.61/46,937.51 = 7,918.04/x
  3. Step 3: Cross multiply
    31,291.61x = 46,937.51 × 7,918.04
  4. Step 4: Simplify right side
    31,291.61x = 371,652,807.40
  5. Step 5: Solve for x
    x = 371,652,807.40/31,291.61
  6. Step 6: Final answer
    x = 11,877.08

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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.