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Finding the Fourth Proportional to 5,402.04, 7,454.71 and 3,012

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Solution

The fourth proportional to 5,402.04, 7,454.71 and 3,012 is: 4,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.04 : 7,454.71 = 3,012 : x
  2. Step 2: Convert to fraction form
    5,402.04/7,454.71 = 3,012/x
  3. Step 3: Cross multiply
    5,402.04x = 7,454.71 × 3,012
  4. Step 4: Simplify right side
    5,402.04x = 22,453,586.52
  5. Step 5: Solve for x
    x = 22,453,586.52/5,402.04
  6. Step 6: Final answer
    x = 4,156.50

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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.