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Finding the Fourth Proportional to 30,519, 42,112.67 and 17,774.98

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Solution

The fourth proportional to 30,519, 42,112.67 and 17,774.98 is: 24,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519 : 42,112.67 = 17,774.98 : x
  2. Step 2: Convert to fraction form
    30,519/42,112.67 = 17,774.98/x
  3. Step 3: Cross multiply
    30,519x = 42,112.67 × 17,774.98
  4. Step 4: Simplify right side
    30,519x = 748,551,672.84
  5. Step 5: Solve for x
    x = 748,551,672.84/30,519
  6. Step 6: Final answer
    x = 24,527.40

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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.