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Finding the Fourth Proportional to 30,246, 45,369 and 9,470.04

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Solution

The fourth proportional to 30,246, 45,369 and 9,470.04 is: 14,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,246 : 45,369 = 9,470.04 : x
  2. Step 2: Convert to fraction form
    30,246/45,369 = 9,470.04/x
  3. Step 3: Cross multiply
    30,246x = 45,369 × 9,470.04
  4. Step 4: Simplify right side
    30,246x = 429,646,244.76
  5. Step 5: Solve for x
    x = 429,646,244.76/30,246
  6. Step 6: Final answer
    x = 14,205.06

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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.