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Finding the Fourth Proportional to 6,427.10, 9,640.65 and 6,038.30

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Solution

The fourth proportional to 6,427.10, 9,640.65 and 6,038.30 is: 9,057.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.10 : 9,640.65 = 6,038.30 : x
  2. Step 2: Convert to fraction form
    6,427.10/9,640.65 = 6,038.30/x
  3. Step 3: Cross multiply
    6,427.10x = 9,640.65 × 6,038.30
  4. Step 4: Simplify right side
    6,427.10x = 58,213,136.90
  5. Step 5: Solve for x
    x = 58,213,136.90/6,427.10
  6. Step 6: Final answer
    x = 9,057.45

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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.