Home / 1,349.16-2,022-1,314.55

Finding the Fourth Proportional to 1,349.16, 2,022 and 1,314.55

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Solution

The fourth proportional to 1,349.16, 2,022 and 1,314.55 is: 1,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.16 : 2,022 = 1,314.55 : x
  2. Step 2: Convert to fraction form
    1,349.16/2,022 = 1,314.55/x
  3. Step 3: Cross multiply
    1,349.16x = 2,022 × 1,314.55
  4. Step 4: Simplify right side
    1,349.16x = 2,658,020.10
  5. Step 5: Solve for x
    x = 2,658,020.10/1,349.16
  6. Step 6: Final answer
    x = 1,970.13

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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.