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Finding the Fourth Proportional to 12,509.94, 17,254.10 and 8,731.90

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Solution

The fourth proportional to 12,509.94, 17,254.10 and 8,731.90 is: 12,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.94 : 17,254.10 = 8,731.90 : x
  2. Step 2: Convert to fraction form
    12,509.94/17,254.10 = 8,731.90/x
  3. Step 3: Cross multiply
    12,509.94x = 17,254.10 × 8,731.90
  4. Step 4: Simplify right side
    12,509.94x = 150,661,075.79
  5. Step 5: Solve for x
    x = 150,661,075.79/12,509.94
  6. Step 6: Final answer
    x = 12,043.31

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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.