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Finding the Fourth Proportional to 1,316.53, 1,973.13 and 1,237.78

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Solution

The fourth proportional to 1,316.53, 1,973.13 and 1,237.78 is: 1,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.53 : 1,973.13 = 1,237.78 : x
  2. Step 2: Convert to fraction form
    1,316.53/1,973.13 = 1,237.78/x
  3. Step 3: Cross multiply
    1,316.53x = 1,973.13 × 1,237.78
  4. Step 4: Simplify right side
    1,316.53x = 2,442,300.85
  5. Step 5: Solve for x
    x = 2,442,300.85/1,316.53
  6. Step 6: Final answer
    x = 1,855.10

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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.