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Finding the Fourth Proportional to 31,306.50, 46,952.64 and 9,115.02

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Solution

The fourth proportional to 31,306.50, 46,952.64 and 9,115.02 is: 13,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.50 : 46,952.64 = 9,115.02 : x
  2. Step 2: Convert to fraction form
    31,306.50/46,952.64 = 9,115.02/x
  3. Step 3: Cross multiply
    31,306.50x = 46,952.64 × 9,115.02
  4. Step 4: Simplify right side
    31,306.50x = 427,974,252.65
  5. Step 5: Solve for x
    x = 427,974,252.65/31,306.50
  6. Step 6: Final answer
    x = 13,670.46

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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.