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Finding the Fourth Proportional to 7,782.32, 11,667.18 and 5,310.92

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Solution

The fourth proportional to 7,782.32, 11,667.18 and 5,310.92 is: 7,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.32 : 11,667.18 = 5,310.92 : x
  2. Step 2: Convert to fraction form
    7,782.32/11,667.18 = 5,310.92/x
  3. Step 3: Cross multiply
    7,782.32x = 11,667.18 × 5,310.92
  4. Step 4: Simplify right side
    7,782.32x = 61,963,459.61
  5. Step 5: Solve for x
    x = 61,963,459.61/7,782.32
  6. Step 6: Final answer
    x = 7,962.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.