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Finding the Fourth Proportional to 9,098.58, 13,652.19 and 4,480.50

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Solution

The fourth proportional to 9,098.58, 13,652.19 and 4,480.50 is: 6,722.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.58 : 13,652.19 = 4,480.50 : x
  2. Step 2: Convert to fraction form
    9,098.58/13,652.19 = 4,480.50/x
  3. Step 3: Cross multiply
    9,098.58x = 13,652.19 × 4,480.50
  4. Step 4: Simplify right side
    9,098.58x = 61,168,637.30
  5. Step 5: Solve for x
    x = 61,168,637.30/9,098.58
  6. Step 6: Final answer
    x = 6,722.88

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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.