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Finding the Fourth Proportional to 1,316.07, 1,971.78 and 1,238.04

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Solution

The fourth proportional to 1,316.07, 1,971.78 and 1,238.04 is: 1,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.07 : 1,971.78 = 1,238.04 : x
  2. Step 2: Convert to fraction form
    1,316.07/1,971.78 = 1,238.04/x
  3. Step 3: Cross multiply
    1,316.07x = 1,971.78 × 1,238.04
  4. Step 4: Simplify right side
    1,316.07x = 2,441,142.51
  5. Step 5: Solve for x
    x = 2,441,142.51/1,316.07
  6. Step 6: Final answer
    x = 1,854.87

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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.