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Finding the Fourth Proportional to 14,642.61, 21,972.93 and 5,756.37

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Solution

The fourth proportional to 14,642.61, 21,972.93 and 5,756.37 is: 8,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.61 : 21,972.93 = 5,756.37 : x
  2. Step 2: Convert to fraction form
    14,642.61/21,972.93 = 5,756.37/x
  3. Step 3: Cross multiply
    14,642.61x = 21,972.93 × 5,756.37
  4. Step 4: Simplify right side
    14,642.61x = 126,484,419.05
  5. Step 5: Solve for x
    x = 126,484,419.05/14,642.61
  6. Step 6: Final answer
    x = 8,638.11

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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.