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Finding the Fourth Proportional to 28,432, 42,648 and 9,964

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Solution

The fourth proportional to 28,432, 42,648 and 9,964 is: 14,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,432 : 42,648 = 9,964 : x
  2. Step 2: Convert to fraction form
    28,432/42,648 = 9,964/x
  3. Step 3: Cross multiply
    28,432x = 42,648 × 9,964
  4. Step 4: Simplify right side
    28,432x = 424,944,672
  5. Step 5: Solve for x
    x = 424,944,672/28,432
  6. Step 6: Final answer
    x = 14,946

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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.