Home / 1,434.16-2,151.85-784.14

Finding the Fourth Proportional to 1,434.16, 2,151.85 and 784.14

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Solution

The fourth proportional to 1,434.16, 2,151.85 and 784.14 is: 1,176.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.16 : 2,151.85 = 784.14 : x
  2. Step 2: Convert to fraction form
    1,434.16/2,151.85 = 784.14/x
  3. Step 3: Cross multiply
    1,434.16x = 2,151.85 × 784.14
  4. Step 4: Simplify right side
    1,434.16x = 1,687,336.98
  5. Step 5: Solve for x
    x = 1,687,336.98/1,434.16
  6. Step 6: Final answer
    x = 1,176.53

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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.