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Finding the Fourth Proportional to 9,508.80, 13,095.12 and 9,305.28

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Solution

The fourth proportional to 9,508.80, 13,095.12 and 9,305.28 is: 12,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.80 : 13,095.12 = 9,305.28 : x
  2. Step 2: Convert to fraction form
    9,508.80/13,095.12 = 9,305.28/x
  3. Step 3: Cross multiply
    9,508.80x = 13,095.12 × 9,305.28
  4. Step 4: Simplify right side
    9,508.80x = 121,853,758.23
  5. Step 5: Solve for x
    x = 121,853,758.23/9,508.80
  6. Step 6: Final answer
    x = 12,814.84

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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.