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Finding the Fourth Proportional to 8,666.40, 11,948.79 and 7,231.44

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Solution

The fourth proportional to 8,666.40, 11,948.79 and 7,231.44 is: 9,970.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.40 : 11,948.79 = 7,231.44 : x
  2. Step 2: Convert to fraction form
    8,666.40/11,948.79 = 7,231.44/x
  3. Step 3: Cross multiply
    8,666.40x = 11,948.79 × 7,231.44
  4. Step 4: Simplify right side
    8,666.40x = 86,406,957.96
  5. Step 5: Solve for x
    x = 86,406,957.96/8,666.40
  6. Step 6: Final answer
    x = 9,970.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.