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Finding the Fourth Proportional to 12,006.70, 17,987.10 and 6,458.20

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Solution

The fourth proportional to 12,006.70, 17,987.10 and 6,458.20 is: 9,674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.70 : 17,987.10 = 6,458.20 : x
  2. Step 2: Convert to fraction form
    12,006.70/17,987.10 = 6,458.20/x
  3. Step 3: Cross multiply
    12,006.70x = 17,987.10 × 6,458.20
  4. Step 4: Simplify right side
    12,006.70x = 116,164,289.22
  5. Step 5: Solve for x
    x = 116,164,289.22/12,006.70
  6. Step 6: Final answer
    x = 9,674.96

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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.