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Finding the Fourth Proportional to 9,759, 13,468.48 and 6,404.52

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Solution

The fourth proportional to 9,759, 13,468.48 and 6,404.52 is: 8,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759 : 13,468.48 = 6,404.52 : x
  2. Step 2: Convert to fraction form
    9,759/13,468.48 = 6,404.52/x
  3. Step 3: Cross multiply
    9,759x = 13,468.48 × 6,404.52
  4. Step 4: Simplify right side
    9,759x = 86,259,149.53
  5. Step 5: Solve for x
    x = 86,259,149.53/9,759
  6. Step 6: Final answer
    x = 8,838.93

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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.