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Finding the Fourth Proportional to 9,449.32, 13,010.32 and 8,030.20

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Solution

The fourth proportional to 9,449.32, 13,010.32 and 8,030.20 is: 11,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.32 : 13,010.32 = 8,030.20 : x
  2. Step 2: Convert to fraction form
    9,449.32/13,010.32 = 8,030.20/x
  3. Step 3: Cross multiply
    9,449.32x = 13,010.32 × 8,030.20
  4. Step 4: Simplify right side
    9,449.32x = 104,475,471.66
  5. Step 5: Solve for x
    x = 104,475,471.66/9,449.32
  6. Step 6: Final answer
    x = 11,056.40

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Half scale
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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.