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Finding the Fourth Proportional to 12,266.40, 18,386.10 and 4,868.40

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Solution

The fourth proportional to 12,266.40, 18,386.10 and 4,868.40 is: 7,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.40 : 18,386.10 = 4,868.40 : x
  2. Step 2: Convert to fraction form
    12,266.40/18,386.10 = 4,868.40/x
  3. Step 3: Cross multiply
    12,266.40x = 18,386.10 × 4,868.40
  4. Step 4: Simplify right side
    12,266.40x = 89,510,889.24
  5. Step 5: Solve for x
    x = 89,510,889.24/12,266.40
  6. Step 6: Final answer
    x = 7,297.24

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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.