Home / 1,592.23-2,197.40-962.78

Finding the Fourth Proportional to 1,592.23, 2,197.40 and 962.78

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Solution

The fourth proportional to 1,592.23, 2,197.40 and 962.78 is: 1,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,592.23 : 2,197.40 = 962.78 : x
  2. Step 2: Convert to fraction form
    1,592.23/2,197.40 = 962.78/x
  3. Step 3: Cross multiply
    1,592.23x = 2,197.40 × 962.78
  4. Step 4: Simplify right side
    1,592.23x = 2,115,622.99
  5. Step 5: Solve for x
    x = 2,115,622.99/1,592.23
  6. Step 6: Final answer
    x = 1,328.71

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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.