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Finding the Fourth Proportional to 31,130.50, 46,695.72 and 11,410.65

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Solution

The fourth proportional to 31,130.50, 46,695.72 and 11,410.65 is: 17,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.50 : 46,695.72 = 11,410.65 : x
  2. Step 2: Convert to fraction form
    31,130.50/46,695.72 = 11,410.65/x
  3. Step 3: Cross multiply
    31,130.50x = 46,695.72 × 11,410.65
  4. Step 4: Simplify right side
    31,130.50x = 532,828,517.42
  5. Step 5: Solve for x
    x = 532,828,517.42/31,130.50
  6. Step 6: Final answer
    x = 17,115.96

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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.