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Finding the Fourth Proportional to 6,501.70, 8,970.78 and 3,849.76

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Solution

The fourth proportional to 6,501.70, 8,970.78 and 3,849.76 is: 5,311.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.70 : 8,970.78 = 3,849.76 : x
  2. Step 2: Convert to fraction form
    6,501.70/8,970.78 = 3,849.76/x
  3. Step 3: Cross multiply
    6,501.70x = 8,970.78 × 3,849.76
  4. Step 4: Simplify right side
    6,501.70x = 34,535,350.01
  5. Step 5: Solve for x
    x = 34,535,350.01/6,501.70
  6. Step 6: Final answer
    x = 5,311.74

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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.