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Finding the Fourth Proportional to 5,663.77, 7,819.70 and 3,679.98

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Solution

The fourth proportional to 5,663.77, 7,819.70 and 3,679.98 is: 5,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.77 : 7,819.70 = 3,679.98 : x
  2. Step 2: Convert to fraction form
    5,663.77/7,819.70 = 3,679.98/x
  3. Step 3: Cross multiply
    5,663.77x = 7,819.70 × 3,679.98
  4. Step 4: Simplify right side
    5,663.77x = 28,776,339.61
  5. Step 5: Solve for x
    x = 28,776,339.61/5,663.77
  6. Step 6: Final answer
    x = 5,080.77

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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.