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Finding the Fourth Proportional to 10,507.86, 15,757.20 and 5,576.40

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Solution

The fourth proportional to 10,507.86, 15,757.20 and 5,576.40 is: 8,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.86 : 15,757.20 = 5,576.40 : x
  2. Step 2: Convert to fraction form
    10,507.86/15,757.20 = 5,576.40/x
  3. Step 3: Cross multiply
    10,507.86x = 15,757.20 × 5,576.40
  4. Step 4: Simplify right side
    10,507.86x = 87,868,450.08
  5. Step 5: Solve for x
    x = 87,868,450.08/10,507.86
  6. Step 6: Final answer
    x = 8,362.16

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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.