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Finding the Fourth Proportional to 34,956, 52,421.22 and 12,762.81

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Solution

The fourth proportional to 34,956, 52,421.22 and 12,762.81 is: 19,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956 : 52,421.22 = 12,762.81 : x
  2. Step 2: Convert to fraction form
    34,956/52,421.22 = 12,762.81/x
  3. Step 3: Cross multiply
    34,956x = 52,421.22 × 12,762.81
  4. Step 4: Simplify right side
    34,956x = 669,042,070.83
  5. Step 5: Solve for x
    x = 669,042,070.83/34,956
  6. Step 6: Final answer
    x = 19,139.55

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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.