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Finding the Fourth Proportional to 1,665.90, 2,498.84 and 1,564.40

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Solution

The fourth proportional to 1,665.90, 2,498.84 and 1,564.40 is: 2,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.90 : 2,498.84 = 1,564.40 : x
  2. Step 2: Convert to fraction form
    1,665.90/2,498.84 = 1,564.40/x
  3. Step 3: Cross multiply
    1,665.90x = 2,498.84 × 1,564.40
  4. Step 4: Simplify right side
    1,665.90x = 3,909,181.39
  5. Step 5: Solve for x
    x = 3,909,181.39/1,665.90
  6. Step 6: Final answer
    x = 2,346.59

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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.