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Finding the Fourth Proportional to 5,144.84, 7,715.65 and 1,857.50

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Solution

The fourth proportional to 5,144.84, 7,715.65 and 1,857.50 is: 2,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.84 : 7,715.65 = 1,857.50 : x
  2. Step 2: Convert to fraction form
    5,144.84/7,715.65 = 1,857.50/x
  3. Step 3: Cross multiply
    5,144.84x = 7,715.65 × 1,857.50
  4. Step 4: Simplify right side
    5,144.84x = 14,331,819.88
  5. Step 5: Solve for x
    x = 14,331,819.88/5,144.84
  6. Step 6: Final answer
    x = 2,785.67

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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.