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Finding the Fourth Proportional to 6,433.12, 9,654 and 2,970.40

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Solution

The fourth proportional to 6,433.12, 9,654 and 2,970.40 is: 4,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.12 : 9,654 = 2,970.40 : x
  2. Step 2: Convert to fraction form
    6,433.12/9,654 = 2,970.40/x
  3. Step 3: Cross multiply
    6,433.12x = 9,654 × 2,970.40
  4. Step 4: Simplify right side
    6,433.12x = 28,676,241.60
  5. Step 5: Solve for x
    x = 28,676,241.60/6,433.12
  6. Step 6: Final answer
    x = 4,457.59

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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.