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Finding the Fourth Proportional to 12,381.84, 18,577.50 and 7,455

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Solution

The fourth proportional to 12,381.84, 18,577.50 and 7,455 is: 11,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.84 : 18,577.50 = 7,455 : x
  2. Step 2: Convert to fraction form
    12,381.84/18,577.50 = 7,455/x
  3. Step 3: Cross multiply
    12,381.84x = 18,577.50 × 7,455
  4. Step 4: Simplify right side
    12,381.84x = 138,495,262.50
  5. Step 5: Solve for x
    x = 138,495,262.50/12,381.84
  6. Step 6: Final answer
    x = 11,185.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.