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Finding the Fourth Proportional to 9,161.69, 12,643.20 and 4,969.94

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Solution

The fourth proportional to 9,161.69, 12,643.20 and 4,969.94 is: 6,858.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.69 : 12,643.20 = 4,969.94 : x
  2. Step 2: Convert to fraction form
    9,161.69/12,643.20 = 4,969.94/x
  3. Step 3: Cross multiply
    9,161.69x = 12,643.20 × 4,969.94
  4. Step 4: Simplify right side
    9,161.69x = 62,835,901.38
  5. Step 5: Solve for x
    x = 62,835,901.38/9,161.69
  6. Step 6: Final answer
    x = 6,858.55

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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.