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Finding the Fourth Proportional to 2,835.65, 4,253.76 and 887.89

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Solution

The fourth proportional to 2,835.65, 4,253.76 and 887.89 is: 1,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.65 : 4,253.76 = 887.89 : x
  2. Step 2: Convert to fraction form
    2,835.65/4,253.76 = 887.89/x
  3. Step 3: Cross multiply
    2,835.65x = 4,253.76 × 887.89
  4. Step 4: Simplify right side
    2,835.65x = 3,776,866.53
  5. Step 5: Solve for x
    x = 3,776,866.53/2,835.65
  6. Step 6: Final answer
    x = 1,331.92

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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.