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Finding the Fourth Proportional to 35,311.68, 52,953.64 and 12,817

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Solution

The fourth proportional to 35,311.68, 52,953.64 and 12,817 is: 19,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,311.68 : 52,953.64 = 12,817 : x
  2. Step 2: Convert to fraction form
    35,311.68/52,953.64 = 12,817/x
  3. Step 3: Cross multiply
    35,311.68x = 52,953.64 × 12,817
  4. Step 4: Simplify right side
    35,311.68x = 678,706,803.88
  5. Step 5: Solve for x
    x = 678,706,803.88/35,311.68
  6. Step 6: Final answer
    x = 19,220.46

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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.