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Finding the Fourth Proportional to 3,875.79, 5,807.96 and 2,292.87

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Solution

The fourth proportional to 3,875.79, 5,807.96 and 2,292.87 is: 3,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.79 : 5,807.96 = 2,292.87 : x
  2. Step 2: Convert to fraction form
    3,875.79/5,807.96 = 2,292.87/x
  3. Step 3: Cross multiply
    3,875.79x = 5,807.96 × 2,292.87
  4. Step 4: Simplify right side
    3,875.79x = 13,316,897.25
  5. Step 5: Solve for x
    x = 13,316,897.25/3,875.79
  6. Step 6: Final answer
    x = 3,435.92

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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.