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Finding the Fourth Proportional to 22,160, 30,580.88 and 13,776.48

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Solution

The fourth proportional to 22,160, 30,580.88 and 13,776.48 is: 19,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,160 : 30,580.88 = 13,776.48 : x
  2. Step 2: Convert to fraction form
    22,160/30,580.88 = 13,776.48/x
  3. Step 3: Cross multiply
    22,160x = 30,580.88 × 13,776.48
  4. Step 4: Simplify right side
    22,160x = 421,296,881.70
  5. Step 5: Solve for x
    x = 421,296,881.70/22,160
  6. Step 6: Final answer
    x = 19,011.59

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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.