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Finding the Fourth Proportional to 5,654, 7,802.52 and 3,170

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Solution

The fourth proportional to 5,654, 7,802.52 and 3,170 is: 4,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654 : 7,802.52 = 3,170 : x
  2. Step 2: Convert to fraction form
    5,654/7,802.52 = 3,170/x
  3. Step 3: Cross multiply
    5,654x = 7,802.52 × 3,170
  4. Step 4: Simplify right side
    5,654x = 24,733,988.40
  5. Step 5: Solve for x
    x = 24,733,988.40/5,654
  6. Step 6: Final answer
    x = 4,374.60

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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.