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Finding the Fourth Proportional to 1,892.96, 2,610.88 and 1,303.68

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Solution

The fourth proportional to 1,892.96, 2,610.88 and 1,303.68 is: 1,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.96 : 2,610.88 = 1,303.68 : x
  2. Step 2: Convert to fraction form
    1,892.96/2,610.88 = 1,303.68/x
  3. Step 3: Cross multiply
    1,892.96x = 2,610.88 × 1,303.68
  4. Step 4: Simplify right side
    1,892.96x = 3,403,752.04
  5. Step 5: Solve for x
    x = 3,403,752.04/1,892.96
  6. Step 6: Final answer
    x = 1,798.11

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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.