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Finding the Fourth Proportional to 5,664.47, 8,496.68 and 1,715.72

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Solution

The fourth proportional to 5,664.47, 8,496.68 and 1,715.72 is: 2,573.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.47 : 8,496.68 = 1,715.72 : x
  2. Step 2: Convert to fraction form
    5,664.47/8,496.68 = 1,715.72/x
  3. Step 3: Cross multiply
    5,664.47x = 8,496.68 × 1,715.72
  4. Step 4: Simplify right side
    5,664.47x = 14,577,872.75
  5. Step 5: Solve for x
    x = 14,577,872.75/5,664.47
  6. Step 6: Final answer
    x = 2,573.57

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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.