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Finding the Fourth Proportional to 4,378.88, 6,568.42 and 1,457.42

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Solution

The fourth proportional to 4,378.88, 6,568.42 and 1,457.42 is: 2,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,378.88 : 6,568.42 = 1,457.42 : x
  2. Step 2: Convert to fraction form
    4,378.88/6,568.42 = 1,457.42/x
  3. Step 3: Cross multiply
    4,378.88x = 6,568.42 × 1,457.42
  4. Step 4: Simplify right side
    4,378.88x = 9,572,946.68
  5. Step 5: Solve for x
    x = 9,572,946.68/4,378.88
  6. Step 6: Final answer
    x = 2,186.16

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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.