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Finding the Fourth Proportional to 1,316.02, 1,962.53 and 1,243.23

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Solution

The fourth proportional to 1,316.02, 1,962.53 and 1,243.23 is: 1,853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.02 : 1,962.53 = 1,243.23 : x
  2. Step 2: Convert to fraction form
    1,316.02/1,962.53 = 1,243.23/x
  3. Step 3: Cross multiply
    1,316.02x = 1,962.53 × 1,243.23
  4. Step 4: Simplify right side
    1,316.02x = 2,439,876.17
  5. Step 5: Solve for x
    x = 2,439,876.17/1,316.02
  6. Step 6: Final answer
    x = 1,853.98

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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.