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Finding the Fourth Proportional to 9,898.74, 13,582.34 and 9,805.86

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Solution

The fourth proportional to 9,898.74, 13,582.34 and 9,805.86 is: 13,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.74 : 13,582.34 = 9,805.86 : x
  2. Step 2: Convert to fraction form
    9,898.74/13,582.34 = 9,805.86/x
  3. Step 3: Cross multiply
    9,898.74x = 13,582.34 × 9,805.86
  4. Step 4: Simplify right side
    9,898.74x = 133,186,475.48
  5. Step 5: Solve for x
    x = 133,186,475.48/9,898.74
  6. Step 6: Final answer
    x = 13,454.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.