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Finding the Fourth Proportional to 8,948.42, 13,357.18 and 8,297.90

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Solution

The fourth proportional to 8,948.42, 13,357.18 and 8,297.90 is: 12,386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.42 : 13,357.18 = 8,297.90 : x
  2. Step 2: Convert to fraction form
    8,948.42/13,357.18 = 8,297.90/x
  3. Step 3: Cross multiply
    8,948.42x = 13,357.18 × 8,297.90
  4. Step 4: Simplify right side
    8,948.42x = 110,836,543.92
  5. Step 5: Solve for x
    x = 110,836,543.92/8,948.42
  6. Step 6: Final answer
    x = 12,386.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.