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Finding the Fourth Proportional to 13,578.17, 18,737.09 and 7,913.84

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Solution

The fourth proportional to 13,578.17, 18,737.09 and 7,913.84 is: 10,920.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.17 : 18,737.09 = 7,913.84 : x
  2. Step 2: Convert to fraction form
    13,578.17/18,737.09 = 7,913.84/x
  3. Step 3: Cross multiply
    13,578.17x = 18,737.09 × 7,913.84
  4. Step 4: Simplify right side
    13,578.17x = 148,282,292.76
  5. Step 5: Solve for x
    x = 148,282,292.76/13,578.17
  6. Step 6: Final answer
    x = 10,920.64

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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.