Home / 1,709.12-2,358.25-962.78

Finding the Fourth Proportional to 1,709.12, 2,358.25 and 962.78

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Solution

The fourth proportional to 1,709.12, 2,358.25 and 962.78 is: 1,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.12 : 2,358.25 = 962.78 : x
  2. Step 2: Convert to fraction form
    1,709.12/2,358.25 = 962.78/x
  3. Step 3: Cross multiply
    1,709.12x = 2,358.25 × 962.78
  4. Step 4: Simplify right side
    1,709.12x = 2,270,461.74
  5. Step 5: Solve for x
    x = 2,270,461.74/1,709.12
  6. Step 6: Final answer
    x = 1,328.44

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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.