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Finding the Fourth Proportional to 6,459.12, 9,686.40 and 2,994

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Solution

The fourth proportional to 6,459.12, 9,686.40 and 2,994 is: 4,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.12 : 9,686.40 = 2,994 : x
  2. Step 2: Convert to fraction form
    6,459.12/9,686.40 = 2,994/x
  3. Step 3: Cross multiply
    6,459.12x = 9,686.40 × 2,994
  4. Step 4: Simplify right side
    6,459.12x = 29,001,081.60
  5. Step 5: Solve for x
    x = 29,001,081.60/6,459.12
  6. Step 6: Final answer
    x = 4,489.94

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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.