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Finding the Fourth Proportional to 30,996.60, 46,491.30 and 8,813.40

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Solution

The fourth proportional to 30,996.60, 46,491.30 and 8,813.40 is: 13,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,996.60 : 46,491.30 = 8,813.40 : x
  2. Step 2: Convert to fraction form
    30,996.60/46,491.30 = 8,813.40/x
  3. Step 3: Cross multiply
    30,996.60x = 46,491.30 × 8,813.40
  4. Step 4: Simplify right side
    30,996.60x = 409,746,423.42
  5. Step 5: Solve for x
    x = 409,746,423.42/30,996.60
  6. Step 6: Final answer
    x = 13,219.08

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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.