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Finding the Fourth Proportional to 1,762.74, 2,437.14 and 1,685.28

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Solution

The fourth proportional to 1,762.74, 2,437.14 and 1,685.28 is: 2,330.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.74 : 2,437.14 = 1,685.28 : x
  2. Step 2: Convert to fraction form
    1,762.74/2,437.14 = 1,685.28/x
  3. Step 3: Cross multiply
    1,762.74x = 2,437.14 × 1,685.28
  4. Step 4: Simplify right side
    1,762.74x = 4,107,262.42
  5. Step 5: Solve for x
    x = 4,107,262.42/1,762.74
  6. Step 6: Final answer
    x = 2,330.05

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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.