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Finding the Fourth Proportional to 5,417.76, 7,475.84 and 3,845.28

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Solution

The fourth proportional to 5,417.76, 7,475.84 and 3,845.28 is: 5,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.76 : 7,475.84 = 3,845.28 : x
  2. Step 2: Convert to fraction form
    5,417.76/7,475.84 = 3,845.28/x
  3. Step 3: Cross multiply
    5,417.76x = 7,475.84 × 3,845.28
  4. Step 4: Simplify right side
    5,417.76x = 28,746,698.04
  5. Step 5: Solve for x
    x = 28,746,698.04/5,417.76
  6. Step 6: Final answer
    x = 5,306.01

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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.