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Finding the Fourth Proportional to 12,541.85, 17,307.89 and 7,165.00

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Solution

The fourth proportional to 12,541.85, 17,307.89 and 7,165.00 is: 9,887.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.85 : 17,307.89 = 7,165.00 : x
  2. Step 2: Convert to fraction form
    12,541.85/17,307.89 = 7,165.00/x
  3. Step 3: Cross multiply
    12,541.85x = 17,307.89 × 7,165.00
  4. Step 4: Simplify right side
    12,541.85x = 124,011,006.49
  5. Step 5: Solve for x
    x = 124,011,006.49/12,541.85
  6. Step 6: Final answer
    x = 9,887.78

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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.