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Finding the Fourth Proportional to 10,107.32, 13,948.02 and 5,630.84

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Solution

The fourth proportional to 10,107.32, 13,948.02 and 5,630.84 is: 7,770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.32 : 13,948.02 = 5,630.84 : x
  2. Step 2: Convert to fraction form
    10,107.32/13,948.02 = 5,630.84/x
  3. Step 3: Cross multiply
    10,107.32x = 13,948.02 × 5,630.84
  4. Step 4: Simplify right side
    10,107.32x = 78,539,068.94
  5. Step 5: Solve for x
    x = 78,539,068.94/10,107.32
  6. Step 6: Final answer
    x = 7,770.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.