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Finding the Fourth Proportional to 8,993.48, 12,411.09 and 5,165.07

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Solution

The fourth proportional to 8,993.48, 12,411.09 and 5,165.07 is: 7,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.48 : 12,411.09 = 5,165.07 : x
  2. Step 2: Convert to fraction form
    8,993.48/12,411.09 = 5,165.07/x
  3. Step 3: Cross multiply
    8,993.48x = 12,411.09 × 5,165.07
  4. Step 4: Simplify right side
    8,993.48x = 64,104,117.60
  5. Step 5: Solve for x
    x = 64,104,117.60/8,993.48
  6. Step 6: Final answer
    x = 7,127.84

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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.