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Finding the Fourth Proportional to 9,159.04, 12,672.80 and 7,982.56

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Solution

The fourth proportional to 9,159.04, 12,672.80 and 7,982.56 is: 11,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.04 : 12,672.80 = 7,982.56 : x
  2. Step 2: Convert to fraction form
    9,159.04/12,672.80 = 7,982.56/x
  3. Step 3: Cross multiply
    9,159.04x = 12,672.80 × 7,982.56
  4. Step 4: Simplify right side
    9,159.04x = 101,161,386.37
  5. Step 5: Solve for x
    x = 101,161,386.37/9,159.04
  6. Step 6: Final answer
    x = 11,044.98

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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.