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Finding the Fourth Proportional to 9,128, 12,596.64 and 5,402

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Solution

The fourth proportional to 9,128, 12,596.64 and 5,402 is: 7,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128 : 12,596.64 = 5,402 : x
  2. Step 2: Convert to fraction form
    9,128/12,596.64 = 5,402/x
  3. Step 3: Cross multiply
    9,128x = 12,596.64 × 5,402
  4. Step 4: Simplify right side
    9,128x = 68,047,049.28
  5. Step 5: Solve for x
    x = 68,047,049.28/9,128
  6. Step 6: Final answer
    x = 7,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.