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Finding the Fourth Proportional to 9,421.96, 12,999 and 5,883.88

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Solution

The fourth proportional to 9,421.96, 12,999 and 5,883.88 is: 8,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.96 : 12,999 = 5,883.88 : x
  2. Step 2: Convert to fraction form
    9,421.96/12,999 = 5,883.88/x
  3. Step 3: Cross multiply
    9,421.96x = 12,999 × 5,883.88
  4. Step 4: Simplify right side
    9,421.96x = 76,484,556.12
  5. Step 5: Solve for x
    x = 76,484,556.12/9,421.96
  6. Step 6: Final answer
    x = 8,117.69

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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.