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Finding the Fourth Proportional to 14,912.88, 20,580.78 and 9,868.40

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Solution

The fourth proportional to 14,912.88, 20,580.78 and 9,868.40 is: 13,619.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,912.88 : 20,580.78 = 9,868.40 : x
  2. Step 2: Convert to fraction form
    14,912.88/20,580.78 = 9,868.40/x
  3. Step 3: Cross multiply
    14,912.88x = 20,580.78 × 9,868.40
  4. Step 4: Simplify right side
    14,912.88x = 203,099,266.45
  5. Step 5: Solve for x
    x = 203,099,266.45/14,912.88
  6. Step 6: Final answer
    x = 13,619.05

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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.