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Finding the Fourth Proportional to 12,720.32, 19,080.48 and 6,560

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Solution

The fourth proportional to 12,720.32, 19,080.48 and 6,560 is: 9,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.32 : 19,080.48 = 6,560 : x
  2. Step 2: Convert to fraction form
    12,720.32/19,080.48 = 6,560/x
  3. Step 3: Cross multiply
    12,720.32x = 19,080.48 × 6,560
  4. Step 4: Simplify right side
    12,720.32x = 125,167,948.80
  5. Step 5: Solve for x
    x = 125,167,948.80/12,720.32
  6. Step 6: Final answer
    x = 9,840

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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.