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Finding the Fourth Proportional to 1,887.71, 2,605.05 and 1,048.53

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Solution

The fourth proportional to 1,887.71, 2,605.05 and 1,048.53 is: 1,446.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.71 : 2,605.05 = 1,048.53 : x
  2. Step 2: Convert to fraction form
    1,887.71/2,605.05 = 1,048.53/x
  3. Step 3: Cross multiply
    1,887.71x = 2,605.05 × 1,048.53
  4. Step 4: Simplify right side
    1,887.71x = 2,731,482.85
  5. Step 5: Solve for x
    x = 2,731,482.85/1,887.71
  6. Step 6: Final answer
    x = 1,446.99

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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.