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Finding the Fourth Proportional to 9,275.89, 13,932.13 and 7,970.31

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Solution

The fourth proportional to 9,275.89, 13,932.13 and 7,970.31 is: 11,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.89 : 13,932.13 = 7,970.31 : x
  2. Step 2: Convert to fraction form
    9,275.89/13,932.13 = 7,970.31/x
  3. Step 3: Cross multiply
    9,275.89x = 13,932.13 × 7,970.31
  4. Step 4: Simplify right side
    9,275.89x = 111,043,395.06
  5. Step 5: Solve for x
    x = 111,043,395.06/9,275.89
  6. Step 6: Final answer
    x = 11,971.18

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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.