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Finding the Fourth Proportional to 8,853, 13,285.96 and 7,142.28

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Solution

The fourth proportional to 8,853, 13,285.96 and 7,142.28 is: 10,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853 : 13,285.96 = 7,142.28 : x
  2. Step 2: Convert to fraction form
    8,853/13,285.96 = 7,142.28/x
  3. Step 3: Cross multiply
    8,853x = 13,285.96 × 7,142.28
  4. Step 4: Simplify right side
    8,853x = 94,892,046.39
  5. Step 5: Solve for x
    x = 94,892,046.39/8,853
  6. Step 6: Final answer
    x = 10,718.63

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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.