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Finding the Fourth Proportional to 30,672, 45,980.69 and 11,947.66

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Solution

The fourth proportional to 30,672, 45,980.69 and 11,947.66 is: 17,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672 : 45,980.69 = 11,947.66 : x
  2. Step 2: Convert to fraction form
    30,672/45,980.69 = 11,947.66/x
  3. Step 3: Cross multiply
    30,672x = 45,980.69 × 11,947.66
  4. Step 4: Simplify right side
    30,672x = 549,361,476.00
  5. Step 5: Solve for x
    x = 549,361,476.00/30,672
  6. Step 6: Final answer
    x = 17,910.85

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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.