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Finding the Fourth Proportional to 6,395.64, 9,588.60 and 5,307

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Solution

The fourth proportional to 6,395.64, 9,588.60 and 5,307 is: 7,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.64 : 9,588.60 = 5,307 : x
  2. Step 2: Convert to fraction form
    6,395.64/9,588.60 = 5,307/x
  3. Step 3: Cross multiply
    6,395.64x = 9,588.60 × 5,307
  4. Step 4: Simplify right side
    6,395.64x = 50,886,700.20
  5. Step 5: Solve for x
    x = 50,886,700.20/6,395.64
  6. Step 6: Final answer
    x = 7,956.47

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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.