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Finding the Fourth Proportional to 9,792.50, 14,675.78 and 4,587.44

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Solution

The fourth proportional to 9,792.50, 14,675.78 and 4,587.44 is: 6,875.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.50 : 14,675.78 = 4,587.44 : x
  2. Step 2: Convert to fraction form
    9,792.50/14,675.78 = 4,587.44/x
  3. Step 3: Cross multiply
    9,792.50x = 14,675.78 × 4,587.44
  4. Step 4: Simplify right side
    9,792.50x = 67,324,198.29
  5. Step 5: Solve for x
    x = 67,324,198.29/9,792.50
  6. Step 6: Final answer
    x = 6,875.08

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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.