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Finding the Fourth Proportional to 5,354.76, 7,385.86 and 4,914.12

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Solution

The fourth proportional to 5,354.76, 7,385.86 and 4,914.12 is: 6,778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.76 : 7,385.86 = 4,914.12 : x
  2. Step 2: Convert to fraction form
    5,354.76/7,385.86 = 4,914.12/x
  3. Step 3: Cross multiply
    5,354.76x = 7,385.86 × 4,914.12
  4. Step 4: Simplify right side
    5,354.76x = 36,295,002.34
  5. Step 5: Solve for x
    x = 36,295,002.34/5,354.76
  6. Step 6: Final answer
    x = 6,778.08

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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.