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Finding the Fourth Proportional to 6,429.92, 9,640.02 and 5,130.68

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Solution

The fourth proportional to 6,429.92, 9,640.02 and 5,130.68 is: 7,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.92 : 9,640.02 = 5,130.68 : x
  2. Step 2: Convert to fraction form
    6,429.92/9,640.02 = 5,130.68/x
  3. Step 3: Cross multiply
    6,429.92x = 9,640.02 × 5,130.68
  4. Step 4: Simplify right side
    6,429.92x = 49,459,857.81
  5. Step 5: Solve for x
    x = 49,459,857.81/6,429.92
  6. Step 6: Final answer
    x = 7,692.14

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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.