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Finding the Fourth Proportional to 12,427.62, 17,156.47 and 9,588.62

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Solution

The fourth proportional to 12,427.62, 17,156.47 and 9,588.62 is: 13,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.62 : 17,156.47 = 9,588.62 : x
  2. Step 2: Convert to fraction form
    12,427.62/17,156.47 = 9,588.62/x
  3. Step 3: Cross multiply
    12,427.62x = 17,156.47 × 9,588.62
  4. Step 4: Simplify right side
    12,427.62x = 164,506,761.62
  5. Step 5: Solve for x
    x = 164,506,761.62/12,427.62
  6. Step 6: Final answer
    x = 13,237.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.