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Finding the Fourth Proportional to 9,242.64, 13,864.86 and 8,744.40

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Solution

The fourth proportional to 9,242.64, 13,864.86 and 8,744.40 is: 13,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.64 : 13,864.86 = 8,744.40 : x
  2. Step 2: Convert to fraction form
    9,242.64/13,864.86 = 8,744.40/x
  3. Step 3: Cross multiply
    9,242.64x = 13,864.86 × 8,744.40
  4. Step 4: Simplify right side
    9,242.64x = 121,239,881.78
  5. Step 5: Solve for x
    x = 121,239,881.78/9,242.64
  6. Step 6: Final answer
    x = 13,117.45

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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.