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Finding the Fourth Proportional to 9,792.10, 14,678.50 and 6,272.11

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Solution

The fourth proportional to 9,792.10, 14,678.50 and 6,272.11 is: 9,401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.10 : 14,678.50 = 6,272.11 : x
  2. Step 2: Convert to fraction form
    9,792.10/14,678.50 = 6,272.11/x
  3. Step 3: Cross multiply
    9,792.10x = 14,678.50 × 6,272.11
  4. Step 4: Simplify right side
    9,792.10x = 92,065,166.64
  5. Step 5: Solve for x
    x = 92,065,166.64/9,792.10
  6. Step 6: Final answer
    x = 9,401.98

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1.5x scale

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.