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Finding the Fourth Proportional to 6,490, 8,957.60 and 4,131.64

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Solution

The fourth proportional to 6,490, 8,957.60 and 4,131.64 is: 5,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 8,957.60 = 4,131.64 : x
  2. Step 2: Convert to fraction form
    6,490/8,957.60 = 4,131.64/x
  3. Step 3: Cross multiply
    6,490x = 8,957.60 × 4,131.64
  4. Step 4: Simplify right side
    6,490x = 37,009,578.46
  5. Step 5: Solve for x
    x = 37,009,578.46/6,490
  6. Step 6: Final answer
    x = 5,702.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.