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Finding the Fourth Proportional to 6,358.95, 9,538.38 and 1,976.40

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Solution

The fourth proportional to 6,358.95, 9,538.38 and 1,976.40 is: 2,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.95 : 9,538.38 = 1,976.40 : x
  2. Step 2: Convert to fraction form
    6,358.95/9,538.38 = 1,976.40/x
  3. Step 3: Cross multiply
    6,358.95x = 9,538.38 × 1,976.40
  4. Step 4: Simplify right side
    6,358.95x = 18,851,654.23
  5. Step 5: Solve for x
    x = 18,851,654.23/6,358.95
  6. Step 6: Final answer
    x = 2,964.59

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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.