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Finding the Fourth Proportional to 8,542.64, 11,783.40 and 7,531.76

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Solution

The fourth proportional to 8,542.64, 11,783.40 and 7,531.76 is: 10,389.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.64 : 11,783.40 = 7,531.76 : x
  2. Step 2: Convert to fraction form
    8,542.64/11,783.40 = 7,531.76/x
  3. Step 3: Cross multiply
    8,542.64x = 11,783.40 × 7,531.76
  4. Step 4: Simplify right side
    8,542.64x = 88,749,740.78
  5. Step 5: Solve for x
    x = 88,749,740.78/8,542.64
  6. Step 6: Final answer
    x = 10,389.03

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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.