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Finding the Fourth Proportional to 19,968, 29,931.52 and 8,288

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Solution

The fourth proportional to 19,968, 29,931.52 and 8,288 is: 12,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,968 : 29,931.52 = 8,288 : x
  2. Step 2: Convert to fraction form
    19,968/29,931.52 = 8,288/x
  3. Step 3: Cross multiply
    19,968x = 29,931.52 × 8,288
  4. Step 4: Simplify right side
    19,968x = 248,072,437.76
  5. Step 5: Solve for x
    x = 248,072,437.76/19,968
  6. Step 6: Final answer
    x = 12,423.50

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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.