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Finding the Fourth Proportional to 12,603.12, 18,914.76 and 5,678.16

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Solution

The fourth proportional to 12,603.12, 18,914.76 and 5,678.16 is: 8,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.12 : 18,914.76 = 5,678.16 : x
  2. Step 2: Convert to fraction form
    12,603.12/18,914.76 = 5,678.16/x
  3. Step 3: Cross multiply
    12,603.12x = 18,914.76 × 5,678.16
  4. Step 4: Simplify right side
    12,603.12x = 107,401,033.64
  5. Step 5: Solve for x
    x = 107,401,033.64/12,603.12
  6. Step 6: Final answer
    x = 8,521.78

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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.