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Finding the Fourth Proportional to 9,155, 12,633.90 and 4,963.25

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Solution

The fourth proportional to 9,155, 12,633.90 and 4,963.25 is: 6,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155 : 12,633.90 = 4,963.25 : x
  2. Step 2: Convert to fraction form
    9,155/12,633.90 = 4,963.25/x
  3. Step 3: Cross multiply
    9,155x = 12,633.90 × 4,963.25
  4. Step 4: Simplify right side
    9,155x = 62,705,204.18
  5. Step 5: Solve for x
    x = 62,705,204.18/9,155
  6. Step 6: Final answer
    x = 6,849.29

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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.