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Finding the Fourth Proportional to 10,932, 15,080.76 and 6,897

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Solution

The fourth proportional to 10,932, 15,080.76 and 6,897 is: 9,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932 : 15,080.76 = 6,897 : x
  2. Step 2: Convert to fraction form
    10,932/15,080.76 = 6,897/x
  3. Step 3: Cross multiply
    10,932x = 15,080.76 × 6,897
  4. Step 4: Simplify right side
    10,932x = 104,012,001.72
  5. Step 5: Solve for x
    x = 104,012,001.72/10,932
  6. Step 6: Final answer
    x = 9,514.45

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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.