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Finding the Fourth Proportional to 8,428.16, 12,638.18 and 4,919.20

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Solution

The fourth proportional to 8,428.16, 12,638.18 and 4,919.20 is: 7,376.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.16 : 12,638.18 = 4,919.20 : x
  2. Step 2: Convert to fraction form
    8,428.16/12,638.18 = 4,919.20/x
  3. Step 3: Cross multiply
    8,428.16x = 12,638.18 × 4,919.20
  4. Step 4: Simplify right side
    8,428.16x = 62,169,715.76
  5. Step 5: Solve for x
    x = 62,169,715.76/8,428.16
  6. Step 6: Final answer
    x = 7,376.43

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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.