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Finding the Fourth Proportional to 14,778, 20,393.64 and 10,070.48

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Solution

The fourth proportional to 14,778, 20,393.64 and 10,070.48 is: 13,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778 : 20,393.64 = 10,070.48 : x
  2. Step 2: Convert to fraction form
    14,778/20,393.64 = 10,070.48/x
  3. Step 3: Cross multiply
    14,778x = 20,393.64 × 10,070.48
  4. Step 4: Simplify right side
    14,778x = 205,373,794.73
  5. Step 5: Solve for x
    x = 205,373,794.73/14,778
  6. Step 6: Final answer
    x = 13,897.27

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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.