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Finding the Fourth Proportional to 10,897.81, 16,356.74 and 8,448.37

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Solution

The fourth proportional to 10,897.81, 16,356.74 and 8,448.37 is: 12,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.81 : 16,356.74 = 8,448.37 : x
  2. Step 2: Convert to fraction form
    10,897.81/16,356.74 = 8,448.37/x
  3. Step 3: Cross multiply
    10,897.81x = 16,356.74 × 8,448.37
  4. Step 4: Simplify right side
    10,897.81x = 138,187,708.38
  5. Step 5: Solve for x
    x = 138,187,708.38/10,897.81
  6. Step 6: Final answer
    x = 12,680.32

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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.