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Finding the Fourth Proportional to 1,715.64, 2,571.28 and 1,697.28

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Solution

The fourth proportional to 1,715.64, 2,571.28 and 1,697.28 is: 2,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.64 : 2,571.28 = 1,697.28 : x
  2. Step 2: Convert to fraction form
    1,715.64/2,571.28 = 1,697.28/x
  3. Step 3: Cross multiply
    1,715.64x = 2,571.28 × 1,697.28
  4. Step 4: Simplify right side
    1,715.64x = 4,364,182.12
  5. Step 5: Solve for x
    x = 4,364,182.12/1,715.64
  6. Step 6: Final answer
    x = 2,543.76

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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.