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Finding the Fourth Proportional to 7,813.98, 11,714.40 and 5,342.76

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Solution

The fourth proportional to 7,813.98, 11,714.40 and 5,342.76 is: 8,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.98 : 11,714.40 = 5,342.76 : x
  2. Step 2: Convert to fraction form
    7,813.98/11,714.40 = 5,342.76/x
  3. Step 3: Cross multiply
    7,813.98x = 11,714.40 × 5,342.76
  4. Step 4: Simplify right side
    7,813.98x = 62,587,227.74
  5. Step 5: Solve for x
    x = 62,587,227.74/7,813.98
  6. Step 6: Final answer
    x = 8,009.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.