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Finding the Fourth Proportional to 5,402.25, 8,103.38 and 1,506.76

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Solution

The fourth proportional to 5,402.25, 8,103.38 and 1,506.76 is: 2,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.25 : 8,103.38 = 1,506.76 : x
  2. Step 2: Convert to fraction form
    5,402.25/8,103.38 = 1,506.76/x
  3. Step 3: Cross multiply
    5,402.25x = 8,103.38 × 1,506.76
  4. Step 4: Simplify right side
    5,402.25x = 12,209,848.85
  5. Step 5: Solve for x
    x = 12,209,848.85/5,402.25
  6. Step 6: Final answer
    x = 2,260.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.