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Finding the Fourth Proportional to 2,817.10, 4,225.15 and 869.32

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Solution

The fourth proportional to 2,817.10, 4,225.15 and 869.32 is: 1,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.10 : 4,225.15 = 869.32 : x
  2. Step 2: Convert to fraction form
    2,817.10/4,225.15 = 869.32/x
  3. Step 3: Cross multiply
    2,817.10x = 4,225.15 × 869.32
  4. Step 4: Simplify right side
    2,817.10x = 3,672,981.93
  5. Step 5: Solve for x
    x = 3,672,981.93/2,817.10
  6. Step 6: Final answer
    x = 1,303.82

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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.