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Finding the Fourth Proportional to 1,412.04, 1,947.94 and 914.50

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Solution

The fourth proportional to 1,412.04, 1,947.94 and 914.50 is: 1,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.04 : 1,947.94 = 914.50 : x
  2. Step 2: Convert to fraction form
    1,412.04/1,947.94 = 914.50/x
  3. Step 3: Cross multiply
    1,412.04x = 1,947.94 × 914.50
  4. Step 4: Simplify right side
    1,412.04x = 1,781,391.13
  5. Step 5: Solve for x
    x = 1,781,391.13/1,412.04
  6. Step 6: Final answer
    x = 1,261.57

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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.