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Finding the Fourth Proportional to 8,744.64, 13,111.20 and 7,454.40

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Solution

The fourth proportional to 8,744.64, 13,111.20 and 7,454.40 is: 11,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744.64 : 13,111.20 = 7,454.40 : x
  2. Step 2: Convert to fraction form
    8,744.64/13,111.20 = 7,454.40/x
  3. Step 3: Cross multiply
    8,744.64x = 13,111.20 × 7,454.40
  4. Step 4: Simplify right side
    8,744.64x = 97,736,129.28
  5. Step 5: Solve for x
    x = 97,736,129.28/8,744.64
  6. Step 6: Final answer
    x = 11,176.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.