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Finding the Fourth Proportional to 12,143.13, 18,202.53 and 4,737.40

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Solution

The fourth proportional to 12,143.13, 18,202.53 and 4,737.40 is: 7,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.13 : 18,202.53 = 4,737.40 : x
  2. Step 2: Convert to fraction form
    12,143.13/18,202.53 = 4,737.40/x
  3. Step 3: Cross multiply
    12,143.13x = 18,202.53 × 4,737.40
  4. Step 4: Simplify right side
    12,143.13x = 86,232,562.77
  5. Step 5: Solve for x
    x = 86,232,562.77/12,143.13
  6. Step 6: Final answer
    x = 7,101.35

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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.