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Finding the Fourth Proportional to 9,781.75, 13,509.75 and 6,632.47

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Solution

The fourth proportional to 9,781.75, 13,509.75 and 6,632.47 is: 9,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.75 : 13,509.75 = 6,632.47 : x
  2. Step 2: Convert to fraction form
    9,781.75/13,509.75 = 6,632.47/x
  3. Step 3: Cross multiply
    9,781.75x = 13,509.75 × 6,632.47
  4. Step 4: Simplify right side
    9,781.75x = 89,603,011.58
  5. Step 5: Solve for x
    x = 89,603,011.58/9,781.75
  6. Step 6: Final answer
    x = 9,160.22

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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.