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Finding the Fourth Proportional to 13,011.90, 17,952.05 and 8,472.53

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Solution

The fourth proportional to 13,011.90, 17,952.05 and 8,472.53 is: 11,689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.90 : 17,952.05 = 8,472.53 : x
  2. Step 2: Convert to fraction form
    13,011.90/17,952.05 = 8,472.53/x
  3. Step 3: Cross multiply
    13,011.90x = 17,952.05 × 8,472.53
  4. Step 4: Simplify right side
    13,011.90x = 152,099,150.06
  5. Step 5: Solve for x
    x = 152,099,150.06/13,011.90
  6. Step 6: Final answer
    x = 11,689.23

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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.