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Finding the Fourth Proportional to 8,384.40, 12,562.20 and 5,461.20

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Solution

The fourth proportional to 8,384.40, 12,562.20 and 5,461.20 is: 8,182.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.40 : 12,562.20 = 5,461.20 : x
  2. Step 2: Convert to fraction form
    8,384.40/12,562.20 = 5,461.20/x
  3. Step 3: Cross multiply
    8,384.40x = 12,562.20 × 5,461.20
  4. Step 4: Simplify right side
    8,384.40x = 68,604,686.64
  5. Step 5: Solve for x
    x = 68,604,686.64/8,384.40
  6. Step 6: Final answer
    x = 8,182.42

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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.