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Finding the Fourth Proportional to 30,407, 45,573.06 and 21,594.20

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Solution

The fourth proportional to 30,407, 45,573.06 and 21,594.20 is: 32,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407 : 45,573.06 = 21,594.20 : x
  2. Step 2: Convert to fraction form
    30,407/45,573.06 = 21,594.20/x
  3. Step 3: Cross multiply
    30,407x = 45,573.06 × 21,594.20
  4. Step 4: Simplify right side
    30,407x = 984,113,772.25
  5. Step 5: Solve for x
    x = 984,113,772.25/30,407
  6. Step 6: Final answer
    x = 32,364.71

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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.