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Finding the Fourth Proportional to 2,775.51, 3,828.53 and 1,655.70

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Solution

The fourth proportional to 2,775.51, 3,828.53 and 1,655.70 is: 2,283.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.51 : 3,828.53 = 1,655.70 : x
  2. Step 2: Convert to fraction form
    2,775.51/3,828.53 = 1,655.70/x
  3. Step 3: Cross multiply
    2,775.51x = 3,828.53 × 1,655.70
  4. Step 4: Simplify right side
    2,775.51x = 6,338,888.84
  5. Step 5: Solve for x
    x = 6,338,888.84/2,775.51
  6. Step 6: Final answer
    x = 2,283.86

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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.