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Finding the Fourth Proportional to 9,672, 13,340.45 and 8,877.84

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Solution

The fourth proportional to 9,672, 13,340.45 and 8,877.84 is: 12,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672 : 13,340.45 = 8,877.84 : x
  2. Step 2: Convert to fraction form
    9,672/13,340.45 = 8,877.84/x
  3. Step 3: Cross multiply
    9,672x = 13,340.45 × 8,877.84
  4. Step 4: Simplify right side
    9,672x = 118,434,386.27
  5. Step 5: Solve for x
    x = 118,434,386.27/9,672
  6. Step 6: Final answer
    x = 12,245.08

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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.