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Finding the Fourth Proportional to 30,843.84, 42,564.64 and 16,696.80

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Solution

The fourth proportional to 30,843.84, 42,564.64 and 16,696.80 is: 23,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.84 : 42,564.64 = 16,696.80 : x
  2. Step 2: Convert to fraction form
    30,843.84/42,564.64 = 16,696.80/x
  3. Step 3: Cross multiply
    30,843.84x = 42,564.64 × 16,696.80
  4. Step 4: Simplify right side
    30,843.84x = 710,693,281.15
  5. Step 5: Solve for x
    x = 710,693,281.15/30,843.84
  6. Step 6: Final answer
    x = 23,041.66

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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.