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Finding the Fourth Proportional to 11,423, 17,140.98 and 5,267

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Solution

The fourth proportional to 11,423, 17,140.98 and 5,267 is: 7,903.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,423 : 17,140.98 = 5,267 : x
  2. Step 2: Convert to fraction form
    11,423/17,140.98 = 5,267/x
  3. Step 3: Cross multiply
    11,423x = 17,140.98 × 5,267
  4. Step 4: Simplify right side
    11,423x = 90,281,541.66
  5. Step 5: Solve for x
    x = 90,281,541.66/11,423
  6. Step 6: Final answer
    x = 7,903.49

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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.