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Finding the Fourth Proportional to 11,661.30, 17,485.51 and 7,967.70

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Solution

The fourth proportional to 11,661.30, 17,485.51 and 7,967.70 is: 11,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.30 : 17,485.51 = 7,967.70 : x
  2. Step 2: Convert to fraction form
    11,661.30/17,485.51 = 7,967.70/x
  3. Step 3: Cross multiply
    11,661.30x = 17,485.51 × 7,967.70
  4. Step 4: Simplify right side
    11,661.30x = 139,319,298.03
  5. Step 5: Solve for x
    x = 139,319,298.03/11,661.30
  6. Step 6: Final answer
    x = 11,947.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.