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Finding the Fourth Proportional to 9,130.92, 13,687.86 and 4,964.76

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Solution

The fourth proportional to 9,130.92, 13,687.86 and 4,964.76 is: 7,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.92 : 13,687.86 = 4,964.76 : x
  2. Step 2: Convert to fraction form
    9,130.92/13,687.86 = 4,964.76/x
  3. Step 3: Cross multiply
    9,130.92x = 13,687.86 × 4,964.76
  4. Step 4: Simplify right side
    9,130.92x = 67,956,939.81
  5. Step 5: Solve for x
    x = 67,956,939.81/9,130.92
  6. Step 6: Final answer
    x = 7,442.51

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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.