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Finding the Fourth Proportional to 28,666.20, 42,996.06 and 7,887

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Solution

The fourth proportional to 28,666.20, 42,996.06 and 7,887 is: 11,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,666.20 : 42,996.06 = 7,887 : x
  2. Step 2: Convert to fraction form
    28,666.20/42,996.06 = 7,887/x
  3. Step 3: Cross multiply
    28,666.20x = 42,996.06 × 7,887
  4. Step 4: Simplify right side
    28,666.20x = 339,109,925.22
  5. Step 5: Solve for x
    x = 339,109,925.22/28,666.20
  6. Step 6: Final answer
    x = 11,829.61

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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.