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Finding the Fourth Proportional to 15,142.50, 20,897.46 and 8,858.52

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Solution

The fourth proportional to 15,142.50, 20,897.46 and 8,858.52 is: 12,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.50 : 20,897.46 = 8,858.52 : x
  2. Step 2: Convert to fraction form
    15,142.50/20,897.46 = 8,858.52/x
  3. Step 3: Cross multiply
    15,142.50x = 20,897.46 × 8,858.52
  4. Step 4: Simplify right side
    15,142.50x = 185,120,567.36
  5. Step 5: Solve for x
    x = 185,120,567.36/15,142.50
  6. Step 6: Final answer
    x = 12,225.23

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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.