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Finding the Fourth Proportional to 7,861.52, 10,792.04 and 7,787.68

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Solution

The fourth proportional to 7,861.52, 10,792.04 and 7,787.68 is: 10,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.52 : 10,792.04 = 7,787.68 : x
  2. Step 2: Convert to fraction form
    7,861.52/10,792.04 = 7,787.68/x
  3. Step 3: Cross multiply
    7,861.52x = 10,792.04 × 7,787.68
  4. Step 4: Simplify right side
    7,861.52x = 84,044,954.07
  5. Step 5: Solve for x
    x = 84,044,954.07/7,861.52
  6. Step 6: Final answer
    x = 10,690.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.