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Finding the Fourth Proportional to 1,497.28, 2,234 and 1,485.76

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Solution

The fourth proportional to 1,497.28, 2,234 and 1,485.76 is: 2,216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.28 : 2,234 = 1,485.76 : x
  2. Step 2: Convert to fraction form
    1,497.28/2,234 = 1,485.76/x
  3. Step 3: Cross multiply
    1,497.28x = 2,234 × 1,485.76
  4. Step 4: Simplify right side
    1,497.28x = 3,319,187.84
  5. Step 5: Solve for x
    x = 3,319,187.84/1,497.28
  6. Step 6: Final answer
    x = 2,216.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.