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Finding the Fourth Proportional to 5,406.16, 7,457.16 and 3,280.72

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Solution

The fourth proportional to 5,406.16, 7,457.16 and 3,280.72 is: 4,525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.16 : 7,457.16 = 3,280.72 : x
  2. Step 2: Convert to fraction form
    5,406.16/7,457.16 = 3,280.72/x
  3. Step 3: Cross multiply
    5,406.16x = 7,457.16 × 3,280.72
  4. Step 4: Simplify right side
    5,406.16x = 24,464,853.96
  5. Step 5: Solve for x
    x = 24,464,853.96/5,406.16
  6. Step 6: Final answer
    x = 4,525.37

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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.