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Finding the Fourth Proportional to 11,870.13, 16,380.95 and 6,564.93

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Solution

The fourth proportional to 11,870.13, 16,380.95 and 6,564.93 is: 9,059.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.13 : 16,380.95 = 6,564.93 : x
  2. Step 2: Convert to fraction form
    11,870.13/16,380.95 = 6,564.93/x
  3. Step 3: Cross multiply
    11,870.13x = 16,380.95 × 6,564.93
  4. Step 4: Simplify right side
    11,870.13x = 107,539,757.26
  5. Step 5: Solve for x
    x = 107,539,757.26/11,870.13
  6. Step 6: Final answer
    x = 9,059.69

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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.