Home / 2,275.11-3,412.65-977.49

Finding the Fourth Proportional to 2,275.11, 3,412.65 and 977.49

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Solution

The fourth proportional to 2,275.11, 3,412.65 and 977.49 is: 1,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.11 : 3,412.65 = 977.49 : x
  2. Step 2: Convert to fraction form
    2,275.11/3,412.65 = 977.49/x
  3. Step 3: Cross multiply
    2,275.11x = 3,412.65 × 977.49
  4. Step 4: Simplify right side
    2,275.11x = 3,335,831.25
  5. Step 5: Solve for x
    x = 3,335,831.25/2,275.11
  6. Step 6: Final answer
    x = 1,466.23

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1.5x scale

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.