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Finding the Fourth Proportional to 9,760.64, 13,466.05 and 6,405.31

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Solution

The fourth proportional to 9,760.64, 13,466.05 and 6,405.31 is: 8,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.64 : 13,466.05 = 6,405.31 : x
  2. Step 2: Convert to fraction form
    9,760.64/13,466.05 = 6,405.31/x
  3. Step 3: Cross multiply
    9,760.64x = 13,466.05 × 6,405.31
  4. Step 4: Simplify right side
    9,760.64x = 86,254,224.73
  5. Step 5: Solve for x
    x = 86,254,224.73/9,760.64
  6. Step 6: Final answer
    x = 8,836.94

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1.5x scale

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.