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Finding the Fourth Proportional to 10,980.03, 15,142.86 and 8,854.95

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Solution

The fourth proportional to 10,980.03, 15,142.86 and 8,854.95 is: 12,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.03 : 15,142.86 = 8,854.95 : x
  2. Step 2: Convert to fraction form
    10,980.03/15,142.86 = 8,854.95/x
  3. Step 3: Cross multiply
    10,980.03x = 15,142.86 × 8,854.95
  4. Step 4: Simplify right side
    10,980.03x = 134,089,268.16
  5. Step 5: Solve for x
    x = 134,089,268.16/10,980.03
  6. Step 6: Final answer
    x = 12,212.10

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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.