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Finding the Fourth Proportional to 31,142.76, 46,714.14 and 7,769.40

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Solution

The fourth proportional to 31,142.76, 46,714.14 and 7,769.40 is: 11,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,142.76 : 46,714.14 = 7,769.40 : x
  2. Step 2: Convert to fraction form
    31,142.76/46,714.14 = 7,769.40/x
  3. Step 3: Cross multiply
    31,142.76x = 46,714.14 × 7,769.40
  4. Step 4: Simplify right side
    31,142.76x = 362,940,839.32
  5. Step 5: Solve for x
    x = 362,940,839.32/31,142.76
  6. Step 6: Final answer
    x = 11,654.10

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1.5x scale

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.