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Finding the Fourth Proportional to 9,791, 13,511.34 and 5,541.50

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Solution

The fourth proportional to 9,791, 13,511.34 and 5,541.50 is: 7,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791 : 13,511.34 = 5,541.50 : x
  2. Step 2: Convert to fraction form
    9,791/13,511.34 = 5,541.50/x
  3. Step 3: Cross multiply
    9,791x = 13,511.34 × 5,541.50
  4. Step 4: Simplify right side
    9,791x = 74,873,090.61
  5. Step 5: Solve for x
    x = 74,873,090.61/9,791
  6. Step 6: Final answer
    x = 7,647.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.