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Finding the Fourth Proportional to 7,111.53, 10,666.89 and 1,917

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Solution

The fourth proportional to 7,111.53, 10,666.89 and 1,917 is: 2,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.53 : 10,666.89 = 1,917 : x
  2. Step 2: Convert to fraction form
    7,111.53/10,666.89 = 1,917/x
  3. Step 3: Cross multiply
    7,111.53x = 10,666.89 × 1,917
  4. Step 4: Simplify right side
    7,111.53x = 20,448,428.13
  5. Step 5: Solve for x
    x = 20,448,428.13/7,111.53
  6. Step 6: Final answer
    x = 2,875.39

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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.