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Finding the Fourth Proportional to 9,792.81, 14,690.07 and 2,772.90

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Solution

The fourth proportional to 9,792.81, 14,690.07 and 2,772.90 is: 4,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.81 : 14,690.07 = 2,772.90 : x
  2. Step 2: Convert to fraction form
    9,792.81/14,690.07 = 2,772.90/x
  3. Step 3: Cross multiply
    9,792.81x = 14,690.07 × 2,772.90
  4. Step 4: Simplify right side
    9,792.81x = 40,734,095.10
  5. Step 5: Solve for x
    x = 40,734,095.10/9,792.81
  6. Step 6: Final answer
    x = 4,159.59

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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.