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Finding the Fourth Proportional to 2,817.96, 4,224.90 and 869.04

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Solution

The fourth proportional to 2,817.96, 4,224.90 and 869.04 is: 1,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,817.96 : 4,224.90 = 869.04 : x
  2. Step 2: Convert to fraction form
    2,817.96/4,224.90 = 869.04/x
  3. Step 3: Cross multiply
    2,817.96x = 4,224.90 × 869.04
  4. Step 4: Simplify right side
    2,817.96x = 3,671,607.10
  5. Step 5: Solve for x
    x = 3,671,607.10/2,817.96
  6. Step 6: Final answer
    x = 1,302.93

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1.5x scale

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.