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Finding the Fourth Proportional to 14,474.34, 21,701 and 9,782.72

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Solution

The fourth proportional to 14,474.34, 21,701 and 9,782.72 is: 14,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.34 : 21,701 = 9,782.72 : x
  2. Step 2: Convert to fraction form
    14,474.34/21,701 = 9,782.72/x
  3. Step 3: Cross multiply
    14,474.34x = 21,701 × 9,782.72
  4. Step 4: Simplify right side
    14,474.34x = 212,294,806.72
  5. Step 5: Solve for x
    x = 212,294,806.72/14,474.34
  6. Step 6: Final answer
    x = 14,666.98

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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.