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Finding the Fourth Proportional to 5,653, 7,801.86 and 3,169

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Solution

The fourth proportional to 5,653, 7,801.86 and 3,169 is: 4,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653 : 7,801.86 = 3,169 : x
  2. Step 2: Convert to fraction form
    5,653/7,801.86 = 3,169/x
  3. Step 3: Cross multiply
    5,653x = 7,801.86 × 3,169
  4. Step 4: Simplify right side
    5,653x = 24,724,094.34
  5. Step 5: Solve for x
    x = 24,724,094.34/5,653
  6. Step 6: Final answer
    x = 4,373.62

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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.