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Finding the Fourth Proportional to 10,507.32, 15,760.98 and 4,347

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Solution

The fourth proportional to 10,507.32, 15,760.98 and 4,347 is: 6,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.32 : 15,760.98 = 4,347 : x
  2. Step 2: Convert to fraction form
    10,507.32/15,760.98 = 4,347/x
  3. Step 3: Cross multiply
    10,507.32x = 15,760.98 × 4,347
  4. Step 4: Simplify right side
    10,507.32x = 68,512,980.06
  5. Step 5: Solve for x
    x = 68,512,980.06/10,507.32
  6. Step 6: Final answer
    x = 6,520.50

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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.