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Finding the Fourth Proportional to 12,807.63, 17,672.76 and 7,504.11

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Solution

The fourth proportional to 12,807.63, 17,672.76 and 7,504.11 is: 10,354.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,807.63 : 17,672.76 = 7,504.11 : x
  2. Step 2: Convert to fraction form
    12,807.63/17,672.76 = 7,504.11/x
  3. Step 3: Cross multiply
    12,807.63x = 17,672.76 × 7,504.11
  4. Step 4: Simplify right side
    12,807.63x = 132,618,335.04
  5. Step 5: Solve for x
    x = 132,618,335.04/12,807.63
  6. Step 6: Final answer
    x = 10,354.64

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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.