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Finding the Fourth Proportional to 22,164, 30,586.40 and 13,780.48

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Solution

The fourth proportional to 22,164, 30,586.40 and 13,780.48 is: 19,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164 : 30,586.40 = 13,780.48 : x
  2. Step 2: Convert to fraction form
    22,164/30,586.40 = 13,780.48/x
  3. Step 3: Cross multiply
    22,164x = 30,586.40 × 13,780.48
  4. Step 4: Simplify right side
    22,164x = 421,495,273.47
  5. Step 5: Solve for x
    x = 421,495,273.47/22,164
  6. Step 6: Final answer
    x = 19,017.11

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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.