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Finding the Fourth Proportional to 34,584, 47,726.40 and 19,680

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Solution

The fourth proportional to 34,584, 47,726.40 and 19,680 is: 27,158.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584 : 47,726.40 = 19,680 : x
  2. Step 2: Convert to fraction form
    34,584/47,726.40 = 19,680/x
  3. Step 3: Cross multiply
    34,584x = 47,726.40 × 19,680
  4. Step 4: Simplify right side
    34,584x = 939,255,552
  5. Step 5: Solve for x
    x = 939,255,552/34,584
  6. Step 6: Final answer
    x = 27,158.67

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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.