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Finding the Fourth Proportional to 30,657.84, 45,947.04 and 12,868.32

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Solution

The fourth proportional to 30,657.84, 45,947.04 and 12,868.32 is: 19,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.84 : 45,947.04 = 12,868.32 : x
  2. Step 2: Convert to fraction form
    30,657.84/45,947.04 = 12,868.32/x
  3. Step 3: Cross multiply
    30,657.84x = 45,947.04 × 12,868.32
  4. Step 4: Simplify right side
    30,657.84x = 591,261,213.77
  5. Step 5: Solve for x
    x = 591,261,213.77/30,657.84
  6. Step 6: Final answer
    x = 19,285.81

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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.