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Finding the Fourth Proportional to 10,658.76, 15,894.21 and 9,920.04

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Solution

The fourth proportional to 10,658.76, 15,894.21 and 9,920.04 is: 14,792.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.76 : 15,894.21 = 9,920.04 : x
  2. Step 2: Convert to fraction form
    10,658.76/15,894.21 = 9,920.04/x
  3. Step 3: Cross multiply
    10,658.76x = 15,894.21 × 9,920.04
  4. Step 4: Simplify right side
    10,658.76x = 157,671,198.97
  5. Step 5: Solve for x
    x = 157,671,198.97/10,658.76
  6. Step 6: Final answer
    x = 14,792.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.