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Finding the Fourth Proportional to 30,447.84, 42,014.64 and 17,199.84

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Solution

The fourth proportional to 30,447.84, 42,014.64 and 17,199.84 is: 23,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.84 : 42,014.64 = 17,199.84 : x
  2. Step 2: Convert to fraction form
    30,447.84/42,014.64 = 17,199.84/x
  3. Step 3: Cross multiply
    30,447.84x = 42,014.64 × 17,199.84
  4. Step 4: Simplify right side
    30,447.84x = 722,645,085.66
  5. Step 5: Solve for x
    x = 722,645,085.66/30,447.84
  6. Step 6: Final answer
    x = 23,733.87

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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.