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Finding the Fourth Proportional to 1,301.50, 1,947.59 and 1,214.60

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Solution

The fourth proportional to 1,301.50, 1,947.59 and 1,214.60 is: 1,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.50 : 1,947.59 = 1,214.60 : x
  2. Step 2: Convert to fraction form
    1,301.50/1,947.59 = 1,214.60/x
  3. Step 3: Cross multiply
    1,301.50x = 1,947.59 × 1,214.60
  4. Step 4: Simplify right side
    1,301.50x = 2,365,536.74
  5. Step 5: Solve for x
    x = 2,365,536.74/1,301.50
  6. Step 6: Final answer
    x = 1,817.55

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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.