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Finding the Fourth Proportional to 9,312.10, 13,964.10 and 3,069.70

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Solution

The fourth proportional to 9,312.10, 13,964.10 and 3,069.70 is: 4,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.10 : 13,964.10 = 3,069.70 : x
  2. Step 2: Convert to fraction form
    9,312.10/13,964.10 = 3,069.70/x
  3. Step 3: Cross multiply
    9,312.10x = 13,964.10 × 3,069.70
  4. Step 4: Simplify right side
    9,312.10x = 42,865,597.77
  5. Step 5: Solve for x
    x = 42,865,597.77/9,312.10
  6. Step 6: Final answer
    x = 4,603.21

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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.