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Finding the Fourth Proportional to 9,700, 14,550.18 and 2,774.68

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Solution

The fourth proportional to 9,700, 14,550.18 and 2,774.68 is: 4,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 14,550.18 = 2,774.68 : x
  2. Step 2: Convert to fraction form
    9,700/14,550.18 = 2,774.68/x
  3. Step 3: Cross multiply
    9,700x = 14,550.18 × 2,774.68
  4. Step 4: Simplify right side
    9,700x = 40,372,093.44
  5. Step 5: Solve for x
    x = 40,372,093.44/9,700
  6. Step 6: Final answer
    x = 4,162.07

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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.