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Finding the Fourth Proportional to 30,649.95, 45,970.43 and 9,585.09

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Solution

The fourth proportional to 30,649.95, 45,970.43 and 9,585.09 is: 14,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.95 : 45,970.43 = 9,585.09 : x
  2. Step 2: Convert to fraction form
    30,649.95/45,970.43 = 9,585.09/x
  3. Step 3: Cross multiply
    30,649.95x = 45,970.43 × 9,585.09
  4. Step 4: Simplify right side
    30,649.95x = 440,630,660.96
  5. Step 5: Solve for x
    x = 440,630,660.96/30,649.95
  6. Step 6: Final answer
    x = 14,376.23

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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.