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Finding the Fourth Proportional to 11,275, 15,559.54 and 6,307

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Solution

The fourth proportional to 11,275, 15,559.54 and 6,307 is: 8,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275 : 15,559.54 = 6,307 : x
  2. Step 2: Convert to fraction form
    11,275/15,559.54 = 6,307/x
  3. Step 3: Cross multiply
    11,275x = 15,559.54 × 6,307
  4. Step 4: Simplify right side
    11,275x = 98,134,018.78
  5. Step 5: Solve for x
    x = 98,134,018.78/11,275
  6. Step 6: Final answer
    x = 8,703.68

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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.