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Finding the Fourth Proportional to 14,640, 20,241.60 and 13,987.20

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Solution

The fourth proportional to 14,640, 20,241.60 and 13,987.20 is: 19,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640 : 20,241.60 = 13,987.20 : x
  2. Step 2: Convert to fraction form
    14,640/20,241.60 = 13,987.20/x
  3. Step 3: Cross multiply
    14,640x = 20,241.60 × 13,987.20
  4. Step 4: Simplify right side
    14,640x = 283,123,307.52
  5. Step 5: Solve for x
    x = 283,123,307.52/14,640
  6. Step 6: Final answer
    x = 19,339.02

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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.