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Finding the Fourth Proportional to 6,646.64, 9,969.72 and 3,135.35

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Solution

The fourth proportional to 6,646.64, 9,969.72 and 3,135.35 is: 4,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.64 : 9,969.72 = 3,135.35 : x
  2. Step 2: Convert to fraction form
    6,646.64/9,969.72 = 3,135.35/x
  3. Step 3: Cross multiply
    6,646.64x = 9,969.72 × 3,135.35
  4. Step 4: Simplify right side
    6,646.64x = 31,258,574.77
  5. Step 5: Solve for x
    x = 31,258,574.77/6,646.64
  6. Step 6: Final answer
    x = 4,702.92

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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.