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Finding the Fourth Proportional to 1,895.40, 2,600.10 and 1,871.10

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Solution

The fourth proportional to 1,895.40, 2,600.10 and 1,871.10 is: 2,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,895.40 : 2,600.10 = 1,871.10 : x
  2. Step 2: Convert to fraction form
    1,895.40/2,600.10 = 1,871.10/x
  3. Step 3: Cross multiply
    1,895.40x = 2,600.10 × 1,871.10
  4. Step 4: Simplify right side
    1,895.40x = 4,865,047.11
  5. Step 5: Solve for x
    x = 4,865,047.11/1,895.40
  6. Step 6: Final answer
    x = 2,566.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.