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Finding the Fourth Proportional to 1,918.50, 2,651.02 and 1,656.06

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Solution

The fourth proportional to 1,918.50, 2,651.02 and 1,656.06 is: 2,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918.50 : 2,651.02 = 1,656.06 : x
  2. Step 2: Convert to fraction form
    1,918.50/2,651.02 = 1,656.06/x
  3. Step 3: Cross multiply
    1,918.50x = 2,651.02 × 1,656.06
  4. Step 4: Simplify right side
    1,918.50x = 4,390,248.18
  5. Step 5: Solve for x
    x = 4,390,248.18/1,918.50
  6. Step 6: Final answer
    x = 2,288.38

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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.