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Finding the Fourth Proportional to 34,500.64, 51,759.12 and 12,316

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Solution

The fourth proportional to 34,500.64, 51,759.12 and 12,316 is: 18,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500.64 : 51,759.12 = 12,316 : x
  2. Step 2: Convert to fraction form
    34,500.64/51,759.12 = 12,316/x
  3. Step 3: Cross multiply
    34,500.64x = 51,759.12 × 12,316
  4. Step 4: Simplify right side
    34,500.64x = 637,465,321.92
  5. Step 5: Solve for x
    x = 637,465,321.92/34,500.64
  6. Step 6: Final answer
    x = 18,476.91

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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.