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Finding the Fourth Proportional to 9,246, 12,760.56 and 5,520

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Solution

The fourth proportional to 9,246, 12,760.56 and 5,520 is: 7,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246 : 12,760.56 = 5,520 : x
  2. Step 2: Convert to fraction form
    9,246/12,760.56 = 5,520/x
  3. Step 3: Cross multiply
    9,246x = 12,760.56 × 5,520
  4. Step 4: Simplify right side
    9,246x = 70,438,291.20
  5. Step 5: Solve for x
    x = 70,438,291.20/9,246
  6. Step 6: Final answer
    x = 7,618.24

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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.