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Finding the Fourth Proportional to 9,156.51, 12,636 and 5,177.64

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Solution

The fourth proportional to 9,156.51, 12,636 and 5,177.64 is: 7,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.51 : 12,636 = 5,177.64 : x
  2. Step 2: Convert to fraction form
    9,156.51/12,636 = 5,177.64/x
  3. Step 3: Cross multiply
    9,156.51x = 12,636 × 5,177.64
  4. Step 4: Simplify right side
    9,156.51x = 65,424,659.04
  5. Step 5: Solve for x
    x = 65,424,659.04/9,156.51
  6. Step 6: Final answer
    x = 7,145.15

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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.