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Finding the Fourth Proportional to 9,312.84, 13,969.08 and 2,738.88

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Solution

The fourth proportional to 9,312.84, 13,969.08 and 2,738.88 is: 4,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.84 : 13,969.08 = 2,738.88 : x
  2. Step 2: Convert to fraction form
    9,312.84/13,969.08 = 2,738.88/x
  3. Step 3: Cross multiply
    9,312.84x = 13,969.08 × 2,738.88
  4. Step 4: Simplify right side
    9,312.84x = 38,259,633.83
  5. Step 5: Solve for x
    x = 38,259,633.83/9,312.84
  6. Step 6: Final answer
    x = 4,108.27

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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.