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Finding the Fourth Proportional to 14,506, 21,755.95 and 7,103

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Solution

The fourth proportional to 14,506, 21,755.95 and 7,103 is: 10,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506 : 21,755.95 = 7,103 : x
  2. Step 2: Convert to fraction form
    14,506/21,755.95 = 7,103/x
  3. Step 3: Cross multiply
    14,506x = 21,755.95 × 7,103
  4. Step 4: Simplify right side
    14,506x = 154,532,512.85
  5. Step 5: Solve for x
    x = 154,532,512.85/14,506
  6. Step 6: Final answer
    x = 10,653.01

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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.