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Finding the Fourth Proportional to 9,912.61, 14,863.69 and 5,235.13

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Solution

The fourth proportional to 9,912.61, 14,863.69 and 5,235.13 is: 7,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912.61 : 14,863.69 = 5,235.13 : x
  2. Step 2: Convert to fraction form
    9,912.61/14,863.69 = 5,235.13/x
  3. Step 3: Cross multiply
    9,912.61x = 14,863.69 × 5,235.13
  4. Step 4: Simplify right side
    9,912.61x = 77,813,349.43
  5. Step 5: Solve for x
    x = 77,813,349.43/9,912.61
  6. Step 6: Final answer
    x = 7,849.94

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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.