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Finding the Fourth Proportional to 14,670.84, 20,250.34 and 9,897.70

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Solution

The fourth proportional to 14,670.84, 20,250.34 and 9,897.70 is: 13,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,670.84 : 20,250.34 = 9,897.70 : x
  2. Step 2: Convert to fraction form
    14,670.84/20,250.34 = 9,897.70/x
  3. Step 3: Cross multiply
    14,670.84x = 20,250.34 × 9,897.70
  4. Step 4: Simplify right side
    14,670.84x = 200,431,790.22
  5. Step 5: Solve for x
    x = 200,431,790.22/14,670.84
  6. Step 6: Final answer
    x = 13,661.92

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1.5x scale

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.