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Finding the Fourth Proportional to 1,878.68, 2,816.04 and 902.72

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Solution

The fourth proportional to 1,878.68, 2,816.04 and 902.72 is: 1,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.68 : 2,816.04 = 902.72 : x
  2. Step 2: Convert to fraction form
    1,878.68/2,816.04 = 902.72/x
  3. Step 3: Cross multiply
    1,878.68x = 2,816.04 × 902.72
  4. Step 4: Simplify right side
    1,878.68x = 2,542,095.63
  5. Step 5: Solve for x
    x = 2,542,095.63/1,878.68
  6. Step 6: Final answer
    x = 1,353.13

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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.