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Finding the Fourth Proportional to 15,631.76, 23,447.64 and 4,687.76

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Solution

The fourth proportional to 15,631.76, 23,447.64 and 4,687.76 is: 7,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,631.76 : 23,447.64 = 4,687.76 : x
  2. Step 2: Convert to fraction form
    15,631.76/23,447.64 = 4,687.76/x
  3. Step 3: Cross multiply
    15,631.76x = 23,447.64 × 4,687.76
  4. Step 4: Simplify right side
    15,631.76x = 109,916,908.89
  5. Step 5: Solve for x
    x = 109,916,908.89/15,631.76
  6. Step 6: Final answer
    x = 7,031.64

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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.