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Finding the Fourth Proportional to 9,672.69, 13,356.19 and 7,880.43

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Solution

The fourth proportional to 9,672.69, 13,356.19 and 7,880.43 is: 10,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.69 : 13,356.19 = 7,880.43 : x
  2. Step 2: Convert to fraction form
    9,672.69/13,356.19 = 7,880.43/x
  3. Step 3: Cross multiply
    9,672.69x = 13,356.19 × 7,880.43
  4. Step 4: Simplify right side
    9,672.69x = 105,252,570.91
  5. Step 5: Solve for x
    x = 105,252,570.91/9,672.69
  6. Step 6: Final answer
    x = 10,881.42

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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.