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Finding the Fourth Proportional to 12,810.20, 17,679.44 and 7,509.47

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Solution

The fourth proportional to 12,810.20, 17,679.44 and 7,509.47 is: 10,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.20 : 17,679.44 = 7,509.47 : x
  2. Step 2: Convert to fraction form
    12,810.20/17,679.44 = 7,509.47/x
  3. Step 3: Cross multiply
    12,810.20x = 17,679.44 × 7,509.47
  4. Step 4: Simplify right side
    12,810.20x = 132,763,224.30
  5. Step 5: Solve for x
    x = 132,763,224.30/12,810.20
  6. Step 6: Final answer
    x = 10,363.87

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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.