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Finding the Fourth Proportional to 9,180, 12,671.40 and 5,403.12

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Solution

The fourth proportional to 9,180, 12,671.40 and 5,403.12 is: 7,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 12,671.40 = 5,403.12 : x
  2. Step 2: Convert to fraction form
    9,180/12,671.40 = 5,403.12/x
  3. Step 3: Cross multiply
    9,180x = 12,671.40 × 5,403.12
  4. Step 4: Simplify right side
    9,180x = 68,465,094.77
  5. Step 5: Solve for x
    x = 68,465,094.77/9,180
  6. Step 6: Final answer
    x = 7,458.07

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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.