Home / 1,646.24-2,270.56-1,314.24

Finding the Fourth Proportional to 1,646.24, 2,270.56 and 1,314.24

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Solution

The fourth proportional to 1,646.24, 2,270.56 and 1,314.24 is: 1,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.24 : 2,270.56 = 1,314.24 : x
  2. Step 2: Convert to fraction form
    1,646.24/2,270.56 = 1,314.24/x
  3. Step 3: Cross multiply
    1,646.24x = 2,270.56 × 1,314.24
  4. Step 4: Simplify right side
    1,646.24x = 2,984,060.77
  5. Step 5: Solve for x
    x = 2,984,060.77/1,646.24
  6. Step 6: Final answer
    x = 1,812.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.