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Finding the Fourth Proportional to 13,737.10, 18,957.54 and 7,768.48

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Solution

The fourth proportional to 13,737.10, 18,957.54 and 7,768.48 is: 10,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.10 : 18,957.54 = 7,768.48 : x
  2. Step 2: Convert to fraction form
    13,737.10/18,957.54 = 7,768.48/x
  3. Step 3: Cross multiply
    13,737.10x = 18,957.54 × 7,768.48
  4. Step 4: Simplify right side
    13,737.10x = 147,271,270.34
  5. Step 5: Solve for x
    x = 147,271,270.34/13,737.10
  6. Step 6: Final answer
    x = 10,720.70

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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.