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Finding the Fourth Proportional to 10,722.72, 14,792.39 and 6,947.18

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Solution

The fourth proportional to 10,722.72, 14,792.39 and 6,947.18 is: 9,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.72 : 14,792.39 = 6,947.18 : x
  2. Step 2: Convert to fraction form
    10,722.72/14,792.39 = 6,947.18/x
  3. Step 3: Cross multiply
    10,722.72x = 14,792.39 × 6,947.18
  4. Step 4: Simplify right side
    10,722.72x = 102,765,368.79
  5. Step 5: Solve for x
    x = 102,765,368.79/10,722.72
  6. Step 6: Final answer
    x = 9,583.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.