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Finding the Fourth Proportional to 18,977.64, 28,483.68 and 9,624.17

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Solution

The fourth proportional to 18,977.64, 28,483.68 and 9,624.17 is: 14,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,977.64 : 28,483.68 = 9,624.17 : x
  2. Step 2: Convert to fraction form
    18,977.64/28,483.68 = 9,624.17/x
  3. Step 3: Cross multiply
    18,977.64x = 28,483.68 × 9,624.17
  4. Step 4: Simplify right side
    18,977.64x = 274,131,588.01
  5. Step 5: Solve for x
    x = 274,131,588.01/18,977.64
  6. Step 6: Final answer
    x = 14,444.98

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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.