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Finding the Fourth Proportional to 2,010, 3,013.14 and 777.36

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Solution

The fourth proportional to 2,010, 3,013.14 and 777.36 is: 1,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010 : 3,013.14 = 777.36 : x
  2. Step 2: Convert to fraction form
    2,010/3,013.14 = 777.36/x
  3. Step 3: Cross multiply
    2,010x = 3,013.14 × 777.36
  4. Step 4: Simplify right side
    2,010x = 2,342,294.51
  5. Step 5: Solve for x
    x = 2,342,294.51/2,010
  6. Step 6: Final answer
    x = 1,165.32

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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.