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Finding the Fourth Proportional to 22,487.01, 31,031.23 and 12,415.23

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Solution

The fourth proportional to 22,487.01, 31,031.23 and 12,415.23 is: 17,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.01 : 31,031.23 = 12,415.23 : x
  2. Step 2: Convert to fraction form
    22,487.01/31,031.23 = 12,415.23/x
  3. Step 3: Cross multiply
    22,487.01x = 31,031.23 × 12,415.23
  4. Step 4: Simplify right side
    22,487.01x = 385,259,857.63
  5. Step 5: Solve for x
    x = 385,259,857.63/22,487.01
  6. Step 6: Final answer
    x = 17,132.55

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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.