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Finding the Fourth Proportional to 9,982.68, 13,782.02 and 8,875.60

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Solution

The fourth proportional to 9,982.68, 13,782.02 and 8,875.60 is: 12,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.68 : 13,782.02 = 8,875.60 : x
  2. Step 2: Convert to fraction form
    9,982.68/13,782.02 = 8,875.60/x
  3. Step 3: Cross multiply
    9,982.68x = 13,782.02 × 8,875.60
  4. Step 4: Simplify right side
    9,982.68x = 122,323,696.71
  5. Step 5: Solve for x
    x = 122,323,696.71/9,982.68
  6. Step 6: Final answer
    x = 12,253.59

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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.