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Finding the Fourth Proportional to 19,332, 26,678.16 and 10,500

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Solution

The fourth proportional to 19,332, 26,678.16 and 10,500 is: 14,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,332 : 26,678.16 = 10,500 : x
  2. Step 2: Convert to fraction form
    19,332/26,678.16 = 10,500/x
  3. Step 3: Cross multiply
    19,332x = 26,678.16 × 10,500
  4. Step 4: Simplify right side
    19,332x = 280,120,680
  5. Step 5: Solve for x
    x = 280,120,680/19,332
  6. Step 6: Final answer
    x = 14,490

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.