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Finding the Fourth Proportional to 12,652.57, 17,462.10 and 7,619.41

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Solution

The fourth proportional to 12,652.57, 17,462.10 and 7,619.41 is: 10,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652.57 : 17,462.10 = 7,619.41 : x
  2. Step 2: Convert to fraction form
    12,652.57/17,462.10 = 7,619.41/x
  3. Step 3: Cross multiply
    12,652.57x = 17,462.10 × 7,619.41
  4. Step 4: Simplify right side
    12,652.57x = 133,050,899.36
  5. Step 5: Solve for x
    x = 133,050,899.36/12,652.57
  6. Step 6: Final answer
    x = 10,515.72

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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.