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Finding the Fourth Proportional to 11,702.15, 16,148.89 and 6,666.58

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Solution

The fourth proportional to 11,702.15, 16,148.89 and 6,666.58 is: 9,199.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.15 : 16,148.89 = 6,666.58 : x
  2. Step 2: Convert to fraction form
    11,702.15/16,148.89 = 6,666.58/x
  3. Step 3: Cross multiply
    11,702.15x = 16,148.89 × 6,666.58
  4. Step 4: Simplify right side
    11,702.15x = 107,657,867.10
  5. Step 5: Solve for x
    x = 107,657,867.10/11,702.15
  6. Step 6: Final answer
    x = 9,199.84

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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.