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Finding the Fourth Proportional to 20,430.64, 30,643.66 and 5,641.66

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Solution

The fourth proportional to 20,430.64, 30,643.66 and 5,641.66 is: 8,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,430.64 : 30,643.66 = 5,641.66 : x
  2. Step 2: Convert to fraction form
    20,430.64/30,643.66 = 5,641.66/x
  3. Step 3: Cross multiply
    20,430.64x = 30,643.66 × 5,641.66
  4. Step 4: Simplify right side
    20,430.64x = 172,881,110.88
  5. Step 5: Solve for x
    x = 172,881,110.88/20,430.64
  6. Step 6: Final answer
    x = 8,461.85

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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.