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Finding the Fourth Proportional to 7,878.74, 10,881.95 and 5,221.53

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Solution

The fourth proportional to 7,878.74, 10,881.95 and 5,221.53 is: 7,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.74 : 10,881.95 = 5,221.53 : x
  2. Step 2: Convert to fraction form
    7,878.74/10,881.95 = 5,221.53/x
  3. Step 3: Cross multiply
    7,878.74x = 10,881.95 × 5,221.53
  4. Step 4: Simplify right side
    7,878.74x = 56,820,402.28
  5. Step 5: Solve for x
    x = 56,820,402.28/7,878.74
  6. Step 6: Final answer
    x = 7,211.87

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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.