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Finding the Fourth Proportional to 30,950.71, 42,712.86 and 16,804.48

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Solution

The fourth proportional to 30,950.71, 42,712.86 and 16,804.48 is: 23,190.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.71 : 42,712.86 = 16,804.48 : x
  2. Step 2: Convert to fraction form
    30,950.71/42,712.86 = 16,804.48/x
  3. Step 3: Cross multiply
    30,950.71x = 42,712.86 × 16,804.48
  4. Step 4: Simplify right side
    30,950.71x = 717,767,401.61
  5. Step 5: Solve for x
    x = 717,767,401.61/30,950.71
  6. Step 6: Final answer
    x = 23,190.66

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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.