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Finding the Fourth Proportional to 13,205.16, 19,820.70 and 9,926.28

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Solution

The fourth proportional to 13,205.16, 19,820.70 and 9,926.28 is: 14,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.16 : 19,820.70 = 9,926.28 : x
  2. Step 2: Convert to fraction form
    13,205.16/19,820.70 = 9,926.28/x
  3. Step 3: Cross multiply
    13,205.16x = 19,820.70 × 9,926.28
  4. Step 4: Simplify right side
    13,205.16x = 196,745,818.00
  5. Step 5: Solve for x
    x = 196,745,818.00/13,205.16
  6. Step 6: Final answer
    x = 14,899.16

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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.