Home / 12,546.24-17,312.40-7,764

Finding the Fourth Proportional to 12,546.24, 17,312.40 and 7,764

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Solution

The fourth proportional to 12,546.24, 17,312.40 and 7,764 is: 10,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546.24 : 17,312.40 = 7,764 : x
  2. Step 2: Convert to fraction form
    12,546.24/17,312.40 = 7,764/x
  3. Step 3: Cross multiply
    12,546.24x = 17,312.40 × 7,764
  4. Step 4: Simplify right side
    12,546.24x = 134,413,473.60
  5. Step 5: Solve for x
    x = 134,413,473.60/12,546.24
  6. Step 6: Final answer
    x = 10,713.45

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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.