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Finding the Fourth Proportional to 12,153.19, 16,771.40 and 6,564.19

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Solution

The fourth proportional to 12,153.19, 16,771.40 and 6,564.19 is: 9,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.19 : 16,771.40 = 6,564.19 : x
  2. Step 2: Convert to fraction form
    12,153.19/16,771.40 = 6,564.19/x
  3. Step 3: Cross multiply
    12,153.19x = 16,771.40 × 6,564.19
  4. Step 4: Simplify right side
    12,153.19x = 110,090,656.17
  5. Step 5: Solve for x
    x = 110,090,656.17/12,153.19
  6. Step 6: Final answer
    x = 9,058.58

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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.