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Finding the Fourth Proportional to 9,775, 14,662.50 and 4,303

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Solution

The fourth proportional to 9,775, 14,662.50 and 4,303 is: 6,454.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775 : 14,662.50 = 4,303 : x
  2. Step 2: Convert to fraction form
    9,775/14,662.50 = 4,303/x
  3. Step 3: Cross multiply
    9,775x = 14,662.50 × 4,303
  4. Step 4: Simplify right side
    9,775x = 63,092,737.50
  5. Step 5: Solve for x
    x = 63,092,737.50/9,775
  6. Step 6: Final answer
    x = 6,454.50

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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.