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Finding the Fourth Proportional to 11,875.64, 16,385.72 and 7,094.30

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Solution

The fourth proportional to 11,875.64, 16,385.72 and 7,094.30 is: 9,788.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,875.64 : 16,385.72 = 7,094.30 : x
  2. Step 2: Convert to fraction form
    11,875.64/16,385.72 = 7,094.30/x
  3. Step 3: Cross multiply
    11,875.64x = 16,385.72 × 7,094.30
  4. Step 4: Simplify right side
    11,875.64x = 116,245,213.40
  5. Step 5: Solve for x
    x = 116,245,213.40/11,875.64
  6. Step 6: Final answer
    x = 9,788.54

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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.