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Finding the Fourth Proportional to 3,871.50, 5,810.31 and 1,407.03

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Solution

The fourth proportional to 3,871.50, 5,810.31 and 1,407.03 is: 2,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.50 : 5,810.31 = 1,407.03 : x
  2. Step 2: Convert to fraction form
    3,871.50/5,810.31 = 1,407.03/x
  3. Step 3: Cross multiply
    3,871.50x = 5,810.31 × 1,407.03
  4. Step 4: Simplify right side
    3,871.50x = 8,175,280.48
  5. Step 5: Solve for x
    x = 8,175,280.48/3,871.50
  6. Step 6: Final answer
    x = 2,111.66

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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.