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Finding the Fourth Proportional to 12,898.94, 17,787.02 and 9,548.78

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Solution

The fourth proportional to 12,898.94, 17,787.02 and 9,548.78 is: 13,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.94 : 17,787.02 = 9,548.78 : x
  2. Step 2: Convert to fraction form
    12,898.94/17,787.02 = 9,548.78/x
  3. Step 3: Cross multiply
    12,898.94x = 17,787.02 × 9,548.78
  4. Step 4: Simplify right side
    12,898.94x = 169,844,340.84
  5. Step 5: Solve for x
    x = 169,844,340.84/12,898.94
  6. Step 6: Final answer
    x = 13,167.31

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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.