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Finding the Fourth Proportional to 28,328, 42,492.24 and 9,860

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Solution

The fourth proportional to 28,328, 42,492.24 and 9,860 is: 14,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,328 : 42,492.24 = 9,860 : x
  2. Step 2: Convert to fraction form
    28,328/42,492.24 = 9,860/x
  3. Step 3: Cross multiply
    28,328x = 42,492.24 × 9,860
  4. Step 4: Simplify right side
    28,328x = 418,973,486.40
  5. Step 5: Solve for x
    x = 418,973,486.40/28,328
  6. Step 6: Final answer
    x = 14,790.08

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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.