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Finding the Fourth Proportional to 9,305.64, 12,840.30 and 5,951.40

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Solution

The fourth proportional to 9,305.64, 12,840.30 and 5,951.40 is: 8,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.64 : 12,840.30 = 5,951.40 : x
  2. Step 2: Convert to fraction form
    9,305.64/12,840.30 = 5,951.40/x
  3. Step 3: Cross multiply
    9,305.64x = 12,840.30 × 5,951.40
  4. Step 4: Simplify right side
    9,305.64x = 76,417,761.42
  5. Step 5: Solve for x
    x = 76,417,761.42/9,305.64
  6. Step 6: Final answer
    x = 8,211.98

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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.