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Finding the Fourth Proportional to 47,009.40, 70,524.90 and 13,728.66

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Solution

The fourth proportional to 47,009.40, 70,524.90 and 13,728.66 is: 20,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,009.40 : 70,524.90 = 13,728.66 : x
  2. Step 2: Convert to fraction form
    47,009.40/70,524.90 = 13,728.66/x
  3. Step 3: Cross multiply
    47,009.40x = 70,524.90 × 13,728.66
  4. Step 4: Simplify right side
    47,009.40x = 968,212,373.63
  5. Step 5: Solve for x
    x = 968,212,373.63/47,009.40
  6. Step 6: Final answer
    x = 20,596.14

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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.