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Finding the Fourth Proportional to 7,878.92, 11,818.40 and 2,948.45

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Solution

The fourth proportional to 7,878.92, 11,818.40 and 2,948.45 is: 4,422.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.92 : 11,818.40 = 2,948.45 : x
  2. Step 2: Convert to fraction form
    7,878.92/11,818.40 = 2,948.45/x
  3. Step 3: Cross multiply
    7,878.92x = 11,818.40 × 2,948.45
  4. Step 4: Simplify right side
    7,878.92x = 34,845,887.65
  5. Step 5: Solve for x
    x = 34,845,887.65/7,878.92
  6. Step 6: Final answer
    x = 4,422.68

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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.