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Finding the Fourth Proportional to 30,376, 45,564 and 8,488

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Solution

The fourth proportional to 30,376, 45,564 and 8,488 is: 12,732

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,376 : 45,564 = 8,488 : x
  2. Step 2: Convert to fraction form
    30,376/45,564 = 8,488/x
  3. Step 3: Cross multiply
    30,376x = 45,564 × 8,488
  4. Step 4: Simplify right side
    30,376x = 386,747,232
  5. Step 5: Solve for x
    x = 386,747,232/30,376
  6. Step 6: Final answer
    x = 12,732

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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.