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Finding the Fourth Proportional to 34,357.04, 47,399 and 20,014.72

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Solution

The fourth proportional to 34,357.04, 47,399 and 20,014.72 is: 27,612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,357.04 : 47,399 = 20,014.72 : x
  2. Step 2: Convert to fraction form
    34,357.04/47,399 = 20,014.72/x
  3. Step 3: Cross multiply
    34,357.04x = 47,399 × 20,014.72
  4. Step 4: Simplify right side
    34,357.04x = 948,677,713.28
  5. Step 5: Solve for x
    x = 948,677,713.28/34,357.04
  6. Step 6: Final answer
    x = 27,612.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.