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Finding the Fourth Proportional to 8,489.70, 12,665.61 and 8,030.44

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Solution

The fourth proportional to 8,489.70, 12,665.61 and 8,030.44 is: 11,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.70 : 12,665.61 = 8,030.44 : x
  2. Step 2: Convert to fraction form
    8,489.70/12,665.61 = 8,030.44/x
  3. Step 3: Cross multiply
    8,489.70x = 12,665.61 × 8,030.44
  4. Step 4: Simplify right side
    8,489.70x = 101,710,421.17
  5. Step 5: Solve for x
    x = 101,710,421.17/8,489.70
  6. Step 6: Final answer
    x = 11,980.45

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1.5x scale

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.