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Finding the Fourth Proportional to 3,875.70, 5,810.28 and 2,702.25

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Solution

The fourth proportional to 3,875.70, 5,810.28 and 2,702.25 is: 4,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.70 : 5,810.28 = 2,702.25 : x
  2. Step 2: Convert to fraction form
    3,875.70/5,810.28 = 2,702.25/x
  3. Step 3: Cross multiply
    3,875.70x = 5,810.28 × 2,702.25
  4. Step 4: Simplify right side
    3,875.70x = 15,700,829.13
  5. Step 5: Solve for x
    x = 15,700,829.13/3,875.70
  6. Step 6: Final answer
    x = 4,051.10

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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.