Home / 1,315.18-1,972.61-1,097.19

Finding the Fourth Proportional to 1,315.18, 1,972.61 and 1,097.19

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Solution

The fourth proportional to 1,315.18, 1,972.61 and 1,097.19 is: 1,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.18 : 1,972.61 = 1,097.19 : x
  2. Step 2: Convert to fraction form
    1,315.18/1,972.61 = 1,097.19/x
  3. Step 3: Cross multiply
    1,315.18x = 1,972.61 × 1,097.19
  4. Step 4: Simplify right side
    1,315.18x = 2,164,330.71
  5. Step 5: Solve for x
    x = 2,164,330.71/1,315.18
  6. Step 6: Final answer
    x = 1,645.66

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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.