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Finding the Fourth Proportional to 6,985.96, 9,644.62 and 4,631.30

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Solution

The fourth proportional to 6,985.96, 9,644.62 and 4,631.30 is: 6,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.96 : 9,644.62 = 4,631.30 : x
  2. Step 2: Convert to fraction form
    6,985.96/9,644.62 = 4,631.30/x
  3. Step 3: Cross multiply
    6,985.96x = 9,644.62 × 4,631.30
  4. Step 4: Simplify right side
    6,985.96x = 44,667,128.61
  5. Step 5: Solve for x
    x = 44,667,128.61/6,985.96
  6. Step 6: Final answer
    x = 6,393.84

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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.