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Finding the Fourth Proportional to 9,720.72, 14,592 and 5,780.52

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Solution

The fourth proportional to 9,720.72, 14,592 and 5,780.52 is: 8,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.72 : 14,592 = 5,780.52 : x
  2. Step 2: Convert to fraction form
    9,720.72/14,592 = 5,780.52/x
  3. Step 3: Cross multiply
    9,720.72x = 14,592 × 5,780.52
  4. Step 4: Simplify right side
    9,720.72x = 84,349,347.84
  5. Step 5: Solve for x
    x = 84,349,347.84/9,720.72
  6. Step 6: Final answer
    x = 8,677.27

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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.