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Finding the Fourth Proportional to 6,468.77, 9,702.88 and 1,851.77

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Solution

The fourth proportional to 6,468.77, 9,702.88 and 1,851.77 is: 2,777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.77 : 9,702.88 = 1,851.77 : x
  2. Step 2: Convert to fraction form
    6,468.77/9,702.88 = 1,851.77/x
  3. Step 3: Cross multiply
    6,468.77x = 9,702.88 × 1,851.77
  4. Step 4: Simplify right side
    6,468.77x = 17,967,502.10
  5. Step 5: Solve for x
    x = 17,967,502.10/6,468.77
  6. Step 6: Final answer
    x = 2,777.58

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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.