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Finding the Fourth Proportional to 14,287, 21,443.49 and 7,271.74

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Solution

The fourth proportional to 14,287, 21,443.49 and 7,271.74 is: 10,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287 : 21,443.49 = 7,271.74 : x
  2. Step 2: Convert to fraction form
    14,287/21,443.49 = 7,271.74/x
  3. Step 3: Cross multiply
    14,287x = 21,443.49 × 7,271.74
  4. Step 4: Simplify right side
    14,287x = 155,931,483.97
  5. Step 5: Solve for x
    x = 155,931,483.97/14,287
  6. Step 6: Final answer
    x = 10,914.22

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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.