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Finding the Fourth Proportional to 5,710.88, 7,885.68 and 4,220.48

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Solution

The fourth proportional to 5,710.88, 7,885.68 and 4,220.48 is: 5,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.88 : 7,885.68 = 4,220.48 : x
  2. Step 2: Convert to fraction form
    5,710.88/7,885.68 = 4,220.48/x
  3. Step 3: Cross multiply
    5,710.88x = 7,885.68 × 4,220.48
  4. Step 4: Simplify right side
    5,710.88x = 33,281,354.73
  5. Step 5: Solve for x
    x = 33,281,354.73/5,710.88
  6. Step 6: Final answer
    x = 5,827.71

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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.