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Finding the Fourth Proportional to 10,904.09, 16,356.03 and 4,658.78

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Solution

The fourth proportional to 10,904.09, 16,356.03 and 4,658.78 is: 6,988.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.09 : 16,356.03 = 4,658.78 : x
  2. Step 2: Convert to fraction form
    10,904.09/16,356.03 = 4,658.78/x
  3. Step 3: Cross multiply
    10,904.09x = 16,356.03 × 4,658.78
  4. Step 4: Simplify right side
    10,904.09x = 76,199,168.86
  5. Step 5: Solve for x
    x = 76,199,168.86/10,904.09
  6. Step 6: Final answer
    x = 6,988.13

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1.5x scale

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.