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Finding the Fourth Proportional to 14,569.76, 20,109.48 and 8,906.48

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Solution

The fourth proportional to 14,569.76, 20,109.48 and 8,906.48 is: 12,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.76 : 20,109.48 = 8,906.48 : x
  2. Step 2: Convert to fraction form
    14,569.76/20,109.48 = 8,906.48/x
  3. Step 3: Cross multiply
    14,569.76x = 20,109.48 × 8,906.48
  4. Step 4: Simplify right side
    14,569.76x = 179,104,681.43
  5. Step 5: Solve for x
    x = 179,104,681.43/14,569.76
  6. Step 6: Final answer
    x = 12,292.91

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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.