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Finding the Fourth Proportional to 9,689.66, 13,371.99 and 5,498.54

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Solution

The fourth proportional to 9,689.66, 13,371.99 and 5,498.54 is: 7,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.66 : 13,371.99 = 5,498.54 : x
  2. Step 2: Convert to fraction form
    9,689.66/13,371.99 = 5,498.54/x
  3. Step 3: Cross multiply
    9,689.66x = 13,371.99 × 5,498.54
  4. Step 4: Simplify right side
    9,689.66x = 73,526,421.89
  5. Step 5: Solve for x
    x = 73,526,421.89/9,689.66
  6. Step 6: Final answer
    x = 7,588.13

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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.