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Finding the Fourth Proportional to 1,555.84, 2,320 and 1,449.92

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Solution

The fourth proportional to 1,555.84, 2,320 and 1,449.92 is: 2,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.84 : 2,320 = 1,449.92 : x
  2. Step 2: Convert to fraction form
    1,555.84/2,320 = 1,449.92/x
  3. Step 3: Cross multiply
    1,555.84x = 2,320 × 1,449.92
  4. Step 4: Simplify right side
    1,555.84x = 3,363,814.40
  5. Step 5: Solve for x
    x = 3,363,814.40/1,555.84
  6. Step 6: Final answer
    x = 2,162.06

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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.