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Finding the Fourth Proportional to 8,141.72, 12,153.65 and 7,533

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Solution

The fourth proportional to 8,141.72, 12,153.65 and 7,533 is: 11,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.72 : 12,153.65 = 7,533 : x
  2. Step 2: Convert to fraction form
    8,141.72/12,153.65 = 7,533/x
  3. Step 3: Cross multiply
    8,141.72x = 12,153.65 × 7,533
  4. Step 4: Simplify right side
    8,141.72x = 91,553,407.79
  5. Step 5: Solve for x
    x = 91,553,407.79/8,141.72
  6. Step 6: Final answer
    x = 11,244.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.