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Finding the Fourth Proportional to 30,536, 42,134.76 and 19,197.46

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Solution

The fourth proportional to 30,536, 42,134.76 and 19,197.46 is: 26,489.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,536 : 42,134.76 = 19,197.46 : x
  2. Step 2: Convert to fraction form
    30,536/42,134.76 = 19,197.46/x
  3. Step 3: Cross multiply
    30,536x = 42,134.76 × 19,197.46
  4. Step 4: Simplify right side
    30,536x = 808,880,427.05
  5. Step 5: Solve for x
    x = 808,880,427.05/30,536
  6. Step 6: Final answer
    x = 26,489.40

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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.