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Finding the Fourth Proportional to 9,857.92, 13,604 and 5,381.76

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Solution

The fourth proportional to 9,857.92, 13,604 and 5,381.76 is: 7,426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.92 : 13,604 = 5,381.76 : x
  2. Step 2: Convert to fraction form
    9,857.92/13,604 = 5,381.76/x
  3. Step 3: Cross multiply
    9,857.92x = 13,604 × 5,381.76
  4. Step 4: Simplify right side
    9,857.92x = 73,213,463.04
  5. Step 5: Solve for x
    x = 73,213,463.04/9,857.92
  6. Step 6: Final answer
    x = 7,426.87

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1.5x scale

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.