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Finding the Fourth Proportional to 47,000, 70,492.44 and 13,712.24

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Solution

The fourth proportional to 47,000, 70,492.44 and 13,712.24 is: 20,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000 : 70,492.44 = 13,712.24 : x
  2. Step 2: Convert to fraction form
    47,000/70,492.44 = 13,712.24/x
  3. Step 3: Cross multiply
    47,000x = 70,492.44 × 13,712.24
  4. Step 4: Simplify right side
    47,000x = 966,609,255.47
  5. Step 5: Solve for x
    x = 966,609,255.47/47,000
  6. Step 6: Final answer
    x = 20,566.15

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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.