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Finding the Fourth Proportional to 30,662.96, 45,967.10 and 10,938.65

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Solution

The fourth proportional to 30,662.96, 45,967.10 and 10,938.65 is: 16,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.96 : 45,967.10 = 10,938.65 : x
  2. Step 2: Convert to fraction form
    30,662.96/45,967.10 = 10,938.65/x
  3. Step 3: Cross multiply
    30,662.96x = 45,967.10 × 10,938.65
  4. Step 4: Simplify right side
    30,662.96x = 502,817,733.89
  5. Step 5: Solve for x
    x = 502,817,733.89/30,662.96
  6. Step 6: Final answer
    x = 16,398.22

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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.