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Finding the Fourth Proportional to 6,510.02, 9,762.11 and 3,878.77

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Solution

The fourth proportional to 6,510.02, 9,762.11 and 3,878.77 is: 5,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.02 : 9,762.11 = 3,878.77 : x
  2. Step 2: Convert to fraction form
    6,510.02/9,762.11 = 3,878.77/x
  3. Step 3: Cross multiply
    6,510.02x = 9,762.11 × 3,878.77
  4. Step 4: Simplify right side
    6,510.02x = 37,864,965.20
  5. Step 5: Solve for x
    x = 37,864,965.20/6,510.02
  6. Step 6: Final answer
    x = 5,816.41

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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.