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Finding the Fourth Proportional to 6,428.70, 9,643.05 and 6,064.20

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Solution

The fourth proportional to 6,428.70, 9,643.05 and 6,064.20 is: 9,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.70 : 9,643.05 = 6,064.20 : x
  2. Step 2: Convert to fraction form
    6,428.70/9,643.05 = 6,064.20/x
  3. Step 3: Cross multiply
    6,428.70x = 9,643.05 × 6,064.20
  4. Step 4: Simplify right side
    6,428.70x = 58,477,383.81
  5. Step 5: Solve for x
    x = 58,477,383.81/6,428.70
  6. Step 6: Final answer
    x = 9,096.30

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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.