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Finding the Fourth Proportional to 7,064.90, 9,749.68 and 3,878.49

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Solution

The fourth proportional to 7,064.90, 9,749.68 and 3,878.49 is: 5,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064.90 : 9,749.68 = 3,878.49 : x
  2. Step 2: Convert to fraction form
    7,064.90/9,749.68 = 3,878.49/x
  3. Step 3: Cross multiply
    7,064.90x = 9,749.68 × 3,878.49
  4. Step 4: Simplify right side
    7,064.90x = 37,814,036.38
  5. Step 5: Solve for x
    x = 37,814,036.38/7,064.90
  6. Step 6: Final answer
    x = 5,352.38

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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.