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Finding the Fourth Proportional to 13,971.78, 20,957.12 and 4,737.78

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Solution

The fourth proportional to 13,971.78, 20,957.12 and 4,737.78 is: 7,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,971.78 : 20,957.12 = 4,737.78 : x
  2. Step 2: Convert to fraction form
    13,971.78/20,957.12 = 4,737.78/x
  3. Step 3: Cross multiply
    13,971.78x = 20,957.12 × 4,737.78
  4. Step 4: Simplify right side
    13,971.78x = 99,290,223.99
  5. Step 5: Solve for x
    x = 99,290,223.99/13,971.78
  6. Step 6: Final answer
    x = 7,106.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.