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Finding the Fourth Proportional to 8,971.23, 12,372.42 and 6,281.07

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Solution

The fourth proportional to 8,971.23, 12,372.42 and 6,281.07 is: 8,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.23 : 12,372.42 = 6,281.07 : x
  2. Step 2: Convert to fraction form
    8,971.23/12,372.42 = 6,281.07/x
  3. Step 3: Cross multiply
    8,971.23x = 12,372.42 × 6,281.07
  4. Step 4: Simplify right side
    8,971.23x = 77,712,036.09
  5. Step 5: Solve for x
    x = 77,712,036.09/8,971.23
  6. Step 6: Final answer
    x = 8,662.36

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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.