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Finding the Fourth Proportional to 8,443.80, 12,665.70 and 7,666.20

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Solution

The fourth proportional to 8,443.80, 12,665.70 and 7,666.20 is: 11,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.80 : 12,665.70 = 7,666.20 : x
  2. Step 2: Convert to fraction form
    8,443.80/12,665.70 = 7,666.20/x
  3. Step 3: Cross multiply
    8,443.80x = 12,665.70 × 7,666.20
  4. Step 4: Simplify right side
    8,443.80x = 97,097,789.34
  5. Step 5: Solve for x
    x = 97,097,789.34/8,443.80
  6. Step 6: Final answer
    x = 11,499.30

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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.