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Finding the Fourth Proportional to 8,572, 11,830.08 and 5,427.04

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Solution

The fourth proportional to 8,572, 11,830.08 and 5,427.04 is: 7,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572 : 11,830.08 = 5,427.04 : x
  2. Step 2: Convert to fraction form
    8,572/11,830.08 = 5,427.04/x
  3. Step 3: Cross multiply
    8,572x = 11,830.08 × 5,427.04
  4. Step 4: Simplify right side
    8,572x = 64,202,317.36
  5. Step 5: Solve for x
    x = 64,202,317.36/8,572
  6. Step 6: Final answer
    x = 7,489.77

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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.