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Finding the Fourth Proportional to 30,479.30, 45,713.34 and 13,835.32

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Solution

The fourth proportional to 30,479.30, 45,713.34 and 13,835.32 is: 20,750.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,479.30 : 45,713.34 = 13,835.32 : x
  2. Step 2: Convert to fraction form
    30,479.30/45,713.34 = 13,835.32/x
  3. Step 3: Cross multiply
    30,479.30x = 45,713.34 × 13,835.32
  4. Step 4: Simplify right side
    30,479.30x = 632,458,687.17
  5. Step 5: Solve for x
    x = 632,458,687.17/30,479.30
  6. Step 6: Final answer
    x = 20,750.43

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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.