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Finding the Fourth Proportional to 8,070, 11,125.08 and 5,717.52

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Solution

The fourth proportional to 8,070, 11,125.08 and 5,717.52 is: 7,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070 : 11,125.08 = 5,717.52 : x
  2. Step 2: Convert to fraction form
    8,070/11,125.08 = 5,717.52/x
  3. Step 3: Cross multiply
    8,070x = 11,125.08 × 5,717.52
  4. Step 4: Simplify right side
    8,070x = 63,607,867.40
  5. Step 5: Solve for x
    x = 63,607,867.40/8,070
  6. Step 6: Final answer
    x = 7,882.02

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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.