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Finding the Fourth Proportional to 10,778, 14,874.20 and 6,304.36

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Solution

The fourth proportional to 10,778, 14,874.20 and 6,304.36 is: 8,700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778 : 14,874.20 = 6,304.36 : x
  2. Step 2: Convert to fraction form
    10,778/14,874.20 = 6,304.36/x
  3. Step 3: Cross multiply
    10,778x = 14,874.20 × 6,304.36
  4. Step 4: Simplify right side
    10,778x = 93,772,311.51
  5. Step 5: Solve for x
    x = 93,772,311.51/10,778
  6. Step 6: Final answer
    x = 8,700.34

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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.