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Finding the Fourth Proportional to 30,384.64, 41,934.64 and 17,635.10

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Solution

The fourth proportional to 30,384.64, 41,934.64 and 17,635.10 is: 24,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,384.64 : 41,934.64 = 17,635.10 : x
  2. Step 2: Convert to fraction form
    30,384.64/41,934.64 = 17,635.10/x
  3. Step 3: Cross multiply
    30,384.64x = 41,934.64 × 17,635.10
  4. Step 4: Simplify right side
    30,384.64x = 739,521,569.86
  5. Step 5: Solve for x
    x = 739,521,569.86/30,384.64
  6. Step 6: Final answer
    x = 24,338.66

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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.