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Finding the Fourth Proportional to 19,560, 29,320.56 and 9,153.12

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Solution

The fourth proportional to 19,560, 29,320.56 and 9,153.12 is: 13,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,560 : 29,320.56 = 9,153.12 : x
  2. Step 2: Convert to fraction form
    19,560/29,320.56 = 9,153.12/x
  3. Step 3: Cross multiply
    19,560x = 29,320.56 × 9,153.12
  4. Step 4: Simplify right side
    19,560x = 268,374,604.15
  5. Step 5: Solve for x
    x = 268,374,604.15/19,560
  6. Step 6: Final answer
    x = 13,720.58

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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.