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Finding the Fourth Proportional to 10,656.25, 14,689.82 and 6,879.12

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Solution

The fourth proportional to 10,656.25, 14,689.82 and 6,879.12 is: 9,482.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.25 : 14,689.82 = 6,879.12 : x
  2. Step 2: Convert to fraction form
    10,656.25/14,689.82 = 6,879.12/x
  3. Step 3: Cross multiply
    10,656.25x = 14,689.82 × 6,879.12
  4. Step 4: Simplify right side
    10,656.25x = 101,053,034.56
  5. Step 5: Solve for x
    x = 101,053,034.56/10,656.25
  6. Step 6: Final answer
    x = 9,482.98

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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.