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Finding the Fourth Proportional to 30,486.33, 45,699.74 and 12,722.10

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Solution

The fourth proportional to 30,486.33, 45,699.74 and 12,722.10 is: 19,070.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,486.33 : 45,699.74 = 12,722.10 : x
  2. Step 2: Convert to fraction form
    30,486.33/45,699.74 = 12,722.10/x
  3. Step 3: Cross multiply
    30,486.33x = 45,699.74 × 12,722.10
  4. Step 4: Simplify right side
    30,486.33x = 581,396,808.31
  5. Step 5: Solve for x
    x = 581,396,808.31/30,486.33
  6. Step 6: Final answer
    x = 19,070.74

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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.