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Finding the Fourth Proportional to 8,681.56, 11,981.74 and 5,323.78

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Solution

The fourth proportional to 8,681.56, 11,981.74 and 5,323.78 is: 7,347.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.56 : 11,981.74 = 5,323.78 : x
  2. Step 2: Convert to fraction form
    8,681.56/11,981.74 = 5,323.78/x
  3. Step 3: Cross multiply
    8,681.56x = 11,981.74 × 5,323.78
  4. Step 4: Simplify right side
    8,681.56x = 63,788,147.78
  5. Step 5: Solve for x
    x = 63,788,147.78/8,681.56
  6. Step 6: Final answer
    x = 7,347.54

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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.