Home / 1,214.50-1,812.57-1,097.86

Finding the Fourth Proportional to 1,214.50, 1,812.57 and 1,097.86

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Solution

The fourth proportional to 1,214.50, 1,812.57 and 1,097.86 is: 1,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,812.57 = 1,097.86 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,812.57 = 1,097.86/x
  3. Step 3: Cross multiply
    1,214.50x = 1,812.57 × 1,097.86
  4. Step 4: Simplify right side
    1,214.50x = 1,989,948.10
  5. Step 5: Solve for x
    x = 1,989,948.10/1,214.50
  6. Step 6: Final answer
    x = 1,638.49

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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.