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Finding the Fourth Proportional to 3,317.76, 4,972.59 and 1,854.90

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Solution

The fourth proportional to 3,317.76, 4,972.59 and 1,854.90 is: 2,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.76 : 4,972.59 = 1,854.90 : x
  2. Step 2: Convert to fraction form
    3,317.76/4,972.59 = 1,854.90/x
  3. Step 3: Cross multiply
    3,317.76x = 4,972.59 × 1,854.90
  4. Step 4: Simplify right side
    3,317.76x = 9,223,657.19
  5. Step 5: Solve for x
    x = 9,223,657.19/3,317.76
  6. Step 6: Final answer
    x = 2,780.09

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Why These Related Problems?

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