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Finding the Fourth Proportional to 30,613.14, 45,914.31 and 8,421.17

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Solution

The fourth proportional to 30,613.14, 45,914.31 and 8,421.17 is: 12,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,613.14 : 45,914.31 = 8,421.17 : x
  2. Step 2: Convert to fraction form
    30,613.14/45,914.31 = 8,421.17/x
  3. Step 3: Cross multiply
    30,613.14x = 45,914.31 × 8,421.17
  4. Step 4: Simplify right side
    30,613.14x = 386,651,980.37
  5. Step 5: Solve for x
    x = 386,651,980.37/30,613.14
  6. Step 6: Final answer
    x = 12,630.26

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1.5x scale

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.