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Finding the Fourth Proportional to 30,407.84, 41,969.80 and 17,836.64

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Solution

The fourth proportional to 30,407.84, 41,969.80 and 17,836.64 is: 24,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407.84 : 41,969.80 = 17,836.64 : x
  2. Step 2: Convert to fraction form
    30,407.84/41,969.80 = 17,836.64/x
  3. Step 3: Cross multiply
    30,407.84x = 41,969.80 × 17,836.64
  4. Step 4: Simplify right side
    30,407.84x = 748,600,213.47
  5. Step 5: Solve for x
    x = 748,600,213.47/30,407.84
  6. Step 6: Final answer
    x = 24,618.66

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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.