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Finding the Fourth Proportional to 1,935.78, 2,900.78 and 1,656.48

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Solution

The fourth proportional to 1,935.78, 2,900.78 and 1,656.48 is: 2,482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.78 : 2,900.78 = 1,656.48 : x
  2. Step 2: Convert to fraction form
    1,935.78/2,900.78 = 1,656.48/x
  3. Step 3: Cross multiply
    1,935.78x = 2,900.78 × 1,656.48
  4. Step 4: Simplify right side
    1,935.78x = 4,805,084.05
  5. Step 5: Solve for x
    x = 4,805,084.05/1,935.78
  6. Step 6: Final answer
    x = 2,482.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.