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Finding the Fourth Proportional to 9,664.47, 13,343.36 and 7,422.32

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Solution

The fourth proportional to 9,664.47, 13,343.36 and 7,422.32 is: 10,247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.47 : 13,343.36 = 7,422.32 : x
  2. Step 2: Convert to fraction form
    9,664.47/13,343.36 = 7,422.32/x
  3. Step 3: Cross multiply
    9,664.47x = 13,343.36 × 7,422.32
  4. Step 4: Simplify right side
    9,664.47x = 99,038,583.97
  5. Step 5: Solve for x
    x = 99,038,583.97/9,664.47
  6. Step 6: Final answer
    x = 10,247.70

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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.