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Finding the Fourth Proportional to 20,894.77, 31,342.16 and 5,099.77

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Solution

The fourth proportional to 20,894.77, 31,342.16 and 5,099.77 is: 7,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.77 : 31,342.16 = 5,099.77 : x
  2. Step 2: Convert to fraction form
    20,894.77/31,342.16 = 5,099.77/x
  3. Step 3: Cross multiply
    20,894.77x = 31,342.16 × 5,099.77
  4. Step 4: Simplify right side
    20,894.77x = 159,837,807.30
  5. Step 5: Solve for x
    x = 159,837,807.30/20,894.77
  6. Step 6: Final answer
    x = 7,649.66

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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.