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Finding the Fourth Proportional to 30,797.86, 42,501.04 and 16,650.71

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Solution

The fourth proportional to 30,797.86, 42,501.04 and 16,650.71 is: 22,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.86 : 42,501.04 = 16,650.71 : x
  2. Step 2: Convert to fraction form
    30,797.86/42,501.04 = 16,650.71/x
  3. Step 3: Cross multiply
    30,797.86x = 42,501.04 × 16,650.71
  4. Step 4: Simplify right side
    30,797.86x = 707,672,491.74
  5. Step 5: Solve for x
    x = 707,672,491.74/30,797.86
  6. Step 6: Final answer
    x = 22,977.98

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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.