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Finding the Fourth Proportional to 1,688.71, 2,329.28 and 1,467.28

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Solution

The fourth proportional to 1,688.71, 2,329.28 and 1,467.28 is: 2,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.71 : 2,329.28 = 1,467.28 : x
  2. Step 2: Convert to fraction form
    1,688.71/2,329.28 = 1,467.28/x
  3. Step 3: Cross multiply
    1,688.71x = 2,329.28 × 1,467.28
  4. Step 4: Simplify right side
    1,688.71x = 3,417,686.98
  5. Step 5: Solve for x
    x = 3,417,686.98/1,688.71
  6. Step 6: Final answer
    x = 2,023.85

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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.