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Finding the Fourth Proportional to 8,570, 11,827.32 and 5,425.04

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Solution

The fourth proportional to 8,570, 11,827.32 and 5,425.04 is: 7,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570 : 11,827.32 = 5,425.04 : x
  2. Step 2: Convert to fraction form
    8,570/11,827.32 = 5,425.04/x
  3. Step 3: Cross multiply
    8,570x = 11,827.32 × 5,425.04
  4. Step 4: Simplify right side
    8,570x = 64,163,684.09
  5. Step 5: Solve for x
    x = 64,163,684.09/8,570
  6. Step 6: Final answer
    x = 7,487.01

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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.