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Finding the Fourth Proportional to 14,610.96, 21,911.76 and 7,681.68

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Solution

The fourth proportional to 14,610.96, 21,911.76 and 7,681.68 is: 11,520.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.96 : 21,911.76 = 7,681.68 : x
  2. Step 2: Convert to fraction form
    14,610.96/21,911.76 = 7,681.68/x
  3. Step 3: Cross multiply
    14,610.96x = 21,911.76 × 7,681.68
  4. Step 4: Simplify right side
    14,610.96x = 168,319,128.56
  5. Step 5: Solve for x
    x = 168,319,128.56/14,610.96
  6. Step 6: Final answer
    x = 11,520.06

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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.