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Finding the Fourth Proportional to 12,530.76, 17,292.28 and 6,865.17

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Solution

The fourth proportional to 12,530.76, 17,292.28 and 6,865.17 is: 9,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.76 : 17,292.28 = 6,865.17 : x
  2. Step 2: Convert to fraction form
    12,530.76/17,292.28 = 6,865.17/x
  3. Step 3: Cross multiply
    12,530.76x = 17,292.28 × 6,865.17
  4. Step 4: Simplify right side
    12,530.76x = 118,714,459.05
  5. Step 5: Solve for x
    x = 118,714,459.05/12,530.76
  6. Step 6: Final answer
    x = 9,473.85

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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.