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Finding the Fourth Proportional to 2,010.74, 3,014.06 and 777.68

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Solution

The fourth proportional to 2,010.74, 3,014.06 and 777.68 is: 1,165.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.74 : 3,014.06 = 777.68 : x
  2. Step 2: Convert to fraction form
    2,010.74/3,014.06 = 777.68/x
  3. Step 3: Cross multiply
    2,010.74x = 3,014.06 × 777.68
  4. Step 4: Simplify right side
    2,010.74x = 2,343,955.22
  5. Step 5: Solve for x
    x = 2,343,955.22/2,010.74
  6. Step 6: Final answer
    x = 1,165.72

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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.