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Finding the Fourth Proportional to 8,577.04, 11,838 and 5,431

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Solution

The fourth proportional to 8,577.04, 11,838 and 5,431 is: 7,495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.04 : 11,838 = 5,431 : x
  2. Step 2: Convert to fraction form
    8,577.04/11,838 = 5,431/x
  3. Step 3: Cross multiply
    8,577.04x = 11,838 × 5,431
  4. Step 4: Simplify right side
    8,577.04x = 64,292,178
  5. Step 5: Solve for x
    x = 64,292,178/8,577.04
  6. Step 6: Final answer
    x = 7,495.85

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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.