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Finding the Fourth Proportional to 5,219.72, 7,829.58 and 1,756.76

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Solution

The fourth proportional to 5,219.72, 7,829.58 and 1,756.76 is: 2,635.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.72 : 7,829.58 = 1,756.76 : x
  2. Step 2: Convert to fraction form
    5,219.72/7,829.58 = 1,756.76/x
  3. Step 3: Cross multiply
    5,219.72x = 7,829.58 × 1,756.76
  4. Step 4: Simplify right side
    5,219.72x = 13,754,692.96
  5. Step 5: Solve for x
    x = 13,754,692.96/5,219.72
  6. Step 6: Final answer
    x = 2,635.14

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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.