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Finding the Fourth Proportional to 13,021.52, 17,957.89 and 8,543.57

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Solution

The fourth proportional to 13,021.52, 17,957.89 and 8,543.57 is: 11,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.52 : 17,957.89 = 8,543.57 : x
  2. Step 2: Convert to fraction form
    13,021.52/17,957.89 = 8,543.57/x
  3. Step 3: Cross multiply
    13,021.52x = 17,957.89 × 8,543.57
  4. Step 4: Simplify right side
    13,021.52x = 153,424,513.80
  5. Step 5: Solve for x
    x = 153,424,513.80/13,021.52
  6. Step 6: Final answer
    x = 11,782.38

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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.