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Finding the Fourth Proportional to 6,678.40, 10,001.40 and 6,386.80

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Solution

The fourth proportional to 6,678.40, 10,001.40 and 6,386.80 is: 9,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.40 : 10,001.40 = 6,386.80 : x
  2. Step 2: Convert to fraction form
    6,678.40/10,001.40 = 6,386.80/x
  3. Step 3: Cross multiply
    6,678.40x = 10,001.40 × 6,386.80
  4. Step 4: Simplify right side
    6,678.40x = 63,876,941.52
  5. Step 5: Solve for x
    x = 63,876,941.52/6,678.40
  6. Step 6: Final answer
    x = 9,564.71

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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.