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Finding the Fourth Proportional to 8,315, 11,476.18 and 4,959.76

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Solution

The fourth proportional to 8,315, 11,476.18 and 4,959.76 is: 6,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315 : 11,476.18 = 4,959.76 : x
  2. Step 2: Convert to fraction form
    8,315/11,476.18 = 4,959.76/x
  3. Step 3: Cross multiply
    8,315x = 11,476.18 × 4,959.76
  4. Step 4: Simplify right side
    8,315x = 56,919,098.52
  5. Step 5: Solve for x
    x = 56,919,098.52/8,315
  6. Step 6: Final answer
    x = 6,845.35

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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.