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Finding the Fourth Proportional to 9,780, 14,669.76 and 5,885.28

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Solution

The fourth proportional to 9,780, 14,669.76 and 5,885.28 is: 8,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780 : 14,669.76 = 5,885.28 : x
  2. Step 2: Convert to fraction form
    9,780/14,669.76 = 5,885.28/x
  3. Step 3: Cross multiply
    9,780x = 14,669.76 × 5,885.28
  4. Step 4: Simplify right side
    9,780x = 86,335,645.13
  5. Step 5: Solve for x
    x = 86,335,645.13/9,780
  6. Step 6: Final answer
    x = 8,827.78

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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.