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Finding the Fourth Proportional to 2,010.47, 3,014.72 and 840.13

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Solution

The fourth proportional to 2,010.47, 3,014.72 and 840.13 is: 1,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.47 : 3,014.72 = 840.13 : x
  2. Step 2: Convert to fraction form
    2,010.47/3,014.72 = 840.13/x
  3. Step 3: Cross multiply
    2,010.47x = 3,014.72 × 840.13
  4. Step 4: Simplify right side
    2,010.47x = 2,532,751.28
  5. Step 5: Solve for x
    x = 2,532,751.28/2,010.47
  6. Step 6: Final answer
    x = 1,259.78

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