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Finding the Fourth Proportional to 8,411.40, 12,602.70 and 5,488.20

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Solution

The fourth proportional to 8,411.40, 12,602.70 and 5,488.20 is: 8,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.40 : 12,602.70 = 5,488.20 : x
  2. Step 2: Convert to fraction form
    8,411.40/12,602.70 = 5,488.20/x
  3. Step 3: Cross multiply
    8,411.40x = 12,602.70 × 5,488.20
  4. Step 4: Simplify right side
    8,411.40x = 69,166,138.14
  5. Step 5: Solve for x
    x = 69,166,138.14/8,411.40
  6. Step 6: Final answer
    x = 8,222.90

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1.5x scale

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.