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Finding the Fourth Proportional to 30,947.84, 42,715.04 and 19,632.95

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Solution

The fourth proportional to 30,947.84, 42,715.04 and 19,632.95 is: 27,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,947.84 : 42,715.04 = 19,632.95 : x
  2. Step 2: Convert to fraction form
    30,947.84/42,715.04 = 19,632.95/x
  3. Step 3: Cross multiply
    30,947.84x = 42,715.04 × 19,632.95
  4. Step 4: Simplify right side
    30,947.84x = 838,622,244.57
  5. Step 5: Solve for x
    x = 838,622,244.57/30,947.84
  6. Step 6: Final answer
    x = 27,097.92

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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.