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Finding the Fourth Proportional to 13,924, 19,212.76 and 9,205.76

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Solution

The fourth proportional to 13,924, 19,212.76 and 9,205.76 is: 12,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924 : 19,212.76 = 9,205.76 : x
  2. Step 2: Convert to fraction form
    13,924/19,212.76 = 9,205.76/x
  3. Step 3: Cross multiply
    13,924x = 19,212.76 × 9,205.76
  4. Step 4: Simplify right side
    13,924x = 176,868,057.50
  5. Step 5: Solve for x
    x = 176,868,057.50/13,924
  6. Step 6: Final answer
    x = 12,702.39

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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.