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Finding the Fourth Proportional to 34,654, 52,004.04 and 12,766

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Solution

The fourth proportional to 34,654, 52,004.04 and 12,766 is: 19,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654 : 52,004.04 = 12,766 : x
  2. Step 2: Convert to fraction form
    34,654/52,004.04 = 12,766/x
  3. Step 3: Cross multiply
    34,654x = 52,004.04 × 12,766
  4. Step 4: Simplify right side
    34,654x = 663,883,574.64
  5. Step 5: Solve for x
    x = 663,883,574.64/34,654
  6. Step 6: Final answer
    x = 19,157.49

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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.