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Finding the Fourth Proportional to 9,898.70, 14,854.88 and 5,218.52

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Solution

The fourth proportional to 9,898.70, 14,854.88 and 5,218.52 is: 7,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.70 : 14,854.88 = 5,218.52 : x
  2. Step 2: Convert to fraction form
    9,898.70/14,854.88 = 5,218.52/x
  3. Step 3: Cross multiply
    9,898.70x = 14,854.88 × 5,218.52
  4. Step 4: Simplify right side
    9,898.70x = 77,520,388.01
  5. Step 5: Solve for x
    x = 77,520,388.01/9,898.70
  6. Step 6: Final answer
    x = 7,831.37

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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.