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Finding the Fourth Proportional to 9,719.40, 14,575.48 and 7,643.46

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Solution

The fourth proportional to 9,719.40, 14,575.48 and 7,643.46 is: 11,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.40 : 14,575.48 = 7,643.46 : x
  2. Step 2: Convert to fraction form
    9,719.40/14,575.48 = 7,643.46/x
  3. Step 3: Cross multiply
    9,719.40x = 14,575.48 × 7,643.46
  4. Step 4: Simplify right side
    9,719.40x = 111,407,098.36
  5. Step 5: Solve for x
    x = 111,407,098.36/9,719.40
  6. Step 6: Final answer
    x = 11,462.34

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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.