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Finding the Fourth Proportional to 6,397.69, 9,598 and 1,955.77

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Solution

The fourth proportional to 6,397.69, 9,598 and 1,955.77 is: 2,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.69 : 9,598 = 1,955.77 : x
  2. Step 2: Convert to fraction form
    6,397.69/9,598 = 1,955.77/x
  3. Step 3: Cross multiply
    6,397.69x = 9,598 × 1,955.77
  4. Step 4: Simplify right side
    6,397.69x = 18,771,480.46
  5. Step 5: Solve for x
    x = 18,771,480.46/6,397.69
  6. Step 6: Final answer
    x = 2,934.10

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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.