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Finding the Fourth Proportional to 8,592, 11,857.20 and 4,866.24

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Solution

The fourth proportional to 8,592, 11,857.20 and 4,866.24 is: 6,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,592 : 11,857.20 = 4,866.24 : x
  2. Step 2: Convert to fraction form
    8,592/11,857.20 = 4,866.24/x
  3. Step 3: Cross multiply
    8,592x = 11,857.20 × 4,866.24
  4. Step 4: Simplify right side
    8,592x = 57,699,980.93
  5. Step 5: Solve for x
    x = 57,699,980.93/8,592
  6. Step 6: Final answer
    x = 6,715.55

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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.