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Finding the Fourth Proportional to 1,887.71, 2,605.23 and 1,101.74

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Solution

The fourth proportional to 1,887.71, 2,605.23 and 1,101.74 is: 1,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.71 : 2,605.23 = 1,101.74 : x
  2. Step 2: Convert to fraction form
    1,887.71/2,605.23 = 1,101.74/x
  3. Step 3: Cross multiply
    1,887.71x = 2,605.23 × 1,101.74
  4. Step 4: Simplify right side
    1,887.71x = 2,870,273.07
  5. Step 5: Solve for x
    x = 2,870,273.07/1,887.71
  6. Step 6: Final answer
    x = 1,520.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.