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Finding the Fourth Proportional to 30,679.76, 46,019.48 and 8,492.99

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Solution

The fourth proportional to 30,679.76, 46,019.48 and 8,492.99 is: 12,739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,679.76 : 46,019.48 = 8,492.99 : x
  2. Step 2: Convert to fraction form
    30,679.76/46,019.48 = 8,492.99/x
  3. Step 3: Cross multiply
    30,679.76x = 46,019.48 × 8,492.99
  4. Step 4: Simplify right side
    30,679.76x = 390,842,710.88
  5. Step 5: Solve for x
    x = 390,842,710.88/30,679.76
  6. Step 6: Final answer
    x = 12,739.43

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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.