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Finding the Fourth Proportional to 12,530.10, 17,291.64 and 6,864.96

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Solution

The fourth proportional to 12,530.10, 17,291.64 and 6,864.96 is: 9,473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.10 : 17,291.64 = 6,864.96 : x
  2. Step 2: Convert to fraction form
    12,530.10/17,291.64 = 6,864.96/x
  3. Step 3: Cross multiply
    12,530.10x = 17,291.64 × 6,864.96
  4. Step 4: Simplify right side
    12,530.10x = 118,706,416.93
  5. Step 5: Solve for x
    x = 118,706,416.93/12,530.10
  6. Step 6: Final answer
    x = 9,473.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.