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Finding the Fourth Proportional to 1,315.54, 1,962.73 and 1,253.62

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Solution

The fourth proportional to 1,315.54, 1,962.73 and 1,253.62 is: 1,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.54 : 1,962.73 = 1,253.62 : x
  2. Step 2: Convert to fraction form
    1,315.54/1,962.73 = 1,253.62/x
  3. Step 3: Cross multiply
    1,315.54x = 1,962.73 × 1,253.62
  4. Step 4: Simplify right side
    1,315.54x = 2,460,517.58
  5. Step 5: Solve for x
    x = 2,460,517.58/1,315.54
  6. Step 6: Final answer
    x = 1,870.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.