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Finding the Fourth Proportional to 9,069.92, 12,506.64 and 7,880.48

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Solution

The fourth proportional to 9,069.92, 12,506.64 and 7,880.48 is: 10,866.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.92 : 12,506.64 = 7,880.48 : x
  2. Step 2: Convert to fraction form
    9,069.92/12,506.64 = 7,880.48/x
  3. Step 3: Cross multiply
    9,069.92x = 12,506.64 × 7,880.48
  4. Step 4: Simplify right side
    9,069.92x = 98,558,326.39
  5. Step 5: Solve for x
    x = 98,558,326.39/9,069.92
  6. Step 6: Final answer
    x = 10,866.50

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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.