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Finding the Fourth Proportional to 15,768, 21,761.76 and 9,055.20

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Solution

The fourth proportional to 15,768, 21,761.76 and 9,055.20 is: 12,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,768 : 21,761.76 = 9,055.20 : x
  2. Step 2: Convert to fraction form
    15,768/21,761.76 = 9,055.20/x
  3. Step 3: Cross multiply
    15,768x = 21,761.76 × 9,055.20
  4. Step 4: Simplify right side
    15,768x = 197,057,089.15
  5. Step 5: Solve for x
    x = 197,057,089.15/15,768
  6. Step 6: Final answer
    x = 12,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.