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Finding the Fourth Proportional to 9,687.94, 14,512.19 and 8,880.64

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Solution

The fourth proportional to 9,687.94, 14,512.19 and 8,880.64 is: 13,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.94 : 14,512.19 = 8,880.64 : x
  2. Step 2: Convert to fraction form
    9,687.94/14,512.19 = 8,880.64/x
  3. Step 3: Cross multiply
    9,687.94x = 14,512.19 × 8,880.64
  4. Step 4: Simplify right side
    9,687.94x = 128,877,454.32
  5. Step 5: Solve for x
    x = 128,877,454.32/9,687.94
  6. Step 6: Final answer
    x = 13,302.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.