Home / 1,564.28-2,332.74-1,478.04

Finding the Fourth Proportional to 1,564.28, 2,332.74 and 1,478.04

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Solution

The fourth proportional to 1,564.28, 2,332.74 and 1,478.04 is: 2,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.28 : 2,332.74 = 1,478.04 : x
  2. Step 2: Convert to fraction form
    1,564.28/2,332.74 = 1,478.04/x
  3. Step 3: Cross multiply
    1,564.28x = 2,332.74 × 1,478.04
  4. Step 4: Simplify right side
    1,564.28x = 3,447,883.03
  5. Step 5: Solve for x
    x = 3,447,883.03/1,564.28
  6. Step 6: Final answer
    x = 2,204.13

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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.