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Finding the Fourth Proportional to 14,415, 19,892.70 and 7,791

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Solution

The fourth proportional to 14,415, 19,892.70 and 7,791 is: 10,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 19,892.70 = 7,791 : x
  2. Step 2: Convert to fraction form
    14,415/19,892.70 = 7,791/x
  3. Step 3: Cross multiply
    14,415x = 19,892.70 × 7,791
  4. Step 4: Simplify right side
    14,415x = 154,984,025.70
  5. Step 5: Solve for x
    x = 154,984,025.70/14,415
  6. Step 6: Final answer
    x = 10,751.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.