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Finding the Fourth Proportional to 10,842, 14,971.96 and 8,717.92

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Solution

The fourth proportional to 10,842, 14,971.96 and 8,717.92 is: 12,038.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842 : 14,971.96 = 8,717.92 : x
  2. Step 2: Convert to fraction form
    10,842/14,971.96 = 8,717.92/x
  3. Step 3: Cross multiply
    10,842x = 14,971.96 × 8,717.92
  4. Step 4: Simplify right side
    10,842x = 130,524,349.52
  5. Step 5: Solve for x
    x = 130,524,349.52/10,842
  6. Step 6: Final answer
    x = 12,038.77

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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.