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Finding the Fourth Proportional to 4,235.40, 6,352.40 and 1,424.20

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Solution

The fourth proportional to 4,235.40, 6,352.40 and 1,424.20 is: 2,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.40 : 6,352.40 = 1,424.20 : x
  2. Step 2: Convert to fraction form
    4,235.40/6,352.40 = 1,424.20/x
  3. Step 3: Cross multiply
    4,235.40x = 6,352.40 × 1,424.20
  4. Step 4: Simplify right side
    4,235.40x = 9,047,088.08
  5. Step 5: Solve for x
    x = 9,047,088.08/4,235.40
  6. Step 6: Final answer
    x = 2,136.06

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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.