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Finding the Fourth Proportional to 13,856.67, 19,121.67 and 7,569.09

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Solution

The fourth proportional to 13,856.67, 19,121.67 and 7,569.09 is: 10,445.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856.67 : 19,121.67 = 7,569.09 : x
  2. Step 2: Convert to fraction form
    13,856.67/19,121.67 = 7,569.09/x
  3. Step 3: Cross multiply
    13,856.67x = 19,121.67 × 7,569.09
  4. Step 4: Simplify right side
    13,856.67x = 144,733,641.18
  5. Step 5: Solve for x
    x = 144,733,641.18/13,856.67
  6. Step 6: Final answer
    x = 10,445.05

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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.