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Finding the Fourth Proportional to 7,147.69, 9,862.10 and 5,470.99

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Solution

The fourth proportional to 7,147.69, 9,862.10 and 5,470.99 is: 7,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.69 : 9,862.10 = 5,470.99 : x
  2. Step 2: Convert to fraction form
    7,147.69/9,862.10 = 5,470.99/x
  3. Step 3: Cross multiply
    7,147.69x = 9,862.10 × 5,470.99
  4. Step 4: Simplify right side
    7,147.69x = 53,955,423.12
  5. Step 5: Solve for x
    x = 53,955,423.12/7,147.69
  6. Step 6: Final answer
    x = 7,548.65

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1.5x scale

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.