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Finding the Fourth Proportional to 2,649.50, 3,656.12 and 1,470.47

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Solution

The fourth proportional to 2,649.50, 3,656.12 and 1,470.47 is: 2,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.50 : 3,656.12 = 1,470.47 : x
  2. Step 2: Convert to fraction form
    2,649.50/3,656.12 = 1,470.47/x
  3. Step 3: Cross multiply
    2,649.50x = 3,656.12 × 1,470.47
  4. Step 4: Simplify right side
    2,649.50x = 5,376,189.14
  5. Step 5: Solve for x
    x = 5,376,189.14/2,649.50
  6. Step 6: Final answer
    x = 2,029.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.