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Finding the Fourth Proportional to 47,457.34, 71,186.70 and 12,397

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Solution

The fourth proportional to 47,457.34, 71,186.70 and 12,397 is: 18,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,457.34 : 71,186.70 = 12,397 : x
  2. Step 2: Convert to fraction form
    47,457.34/71,186.70 = 12,397/x
  3. Step 3: Cross multiply
    47,457.34x = 71,186.70 × 12,397
  4. Step 4: Simplify right side
    47,457.34x = 882,501,519.90
  5. Step 5: Solve for x
    x = 882,501,519.90/47,457.34
  6. Step 6: Final answer
    x = 18,595.68

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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.