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Finding the Fourth Proportional to 42,823.46, 64,235.46 and 11,658.98

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Solution

The fourth proportional to 42,823.46, 64,235.46 and 11,658.98 is: 17,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,823.46 : 64,235.46 = 11,658.98 : x
  2. Step 2: Convert to fraction form
    42,823.46/64,235.46 = 11,658.98/x
  3. Step 3: Cross multiply
    42,823.46x = 64,235.46 × 11,658.98
  4. Step 4: Simplify right side
    42,823.46x = 748,919,943.43
  5. Step 5: Solve for x
    x = 748,919,943.43/42,823.46
  6. Step 6: Final answer
    x = 17,488.54

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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.