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Finding the Fourth Proportional to 30,990, 46,492.29 and 10,213.50

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Solution

The fourth proportional to 30,990, 46,492.29 and 10,213.50 is: 15,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 46,492.29 = 10,213.50 : x
  2. Step 2: Convert to fraction form
    30,990/46,492.29 = 10,213.50/x
  3. Step 3: Cross multiply
    30,990x = 46,492.29 × 10,213.50
  4. Step 4: Simplify right side
    30,990x = 474,849,003.92
  5. Step 5: Solve for x
    x = 474,849,003.92/30,990
  6. Step 6: Final answer
    x = 15,322.65

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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.