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Finding the Fourth Proportional to 28,468, 42,702 and 9,012

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Solution

The fourth proportional to 28,468, 42,702 and 9,012 is: 13,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,468 : 42,702 = 9,012 : x
  2. Step 2: Convert to fraction form
    28,468/42,702 = 9,012/x
  3. Step 3: Cross multiply
    28,468x = 42,702 × 9,012
  4. Step 4: Simplify right side
    28,468x = 384,830,424
  5. Step 5: Solve for x
    x = 384,830,424/28,468
  6. Step 6: Final answer
    x = 13,518

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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.