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Finding the Fourth Proportional to 14,651.91, 21,981.15 and 4,657.23

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Solution

The fourth proportional to 14,651.91, 21,981.15 and 4,657.23 is: 6,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.91 : 21,981.15 = 4,657.23 : x
  2. Step 2: Convert to fraction form
    14,651.91/21,981.15 = 4,657.23/x
  3. Step 3: Cross multiply
    14,651.91x = 21,981.15 × 4,657.23
  4. Step 4: Simplify right side
    14,651.91x = 102,371,271.21
  5. Step 5: Solve for x
    x = 102,371,271.21/14,651.91
  6. Step 6: Final answer
    x = 6,986.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.