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Finding the Fourth Proportional to 13,172.76, 19,759.14 and 3,312

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Solution

The fourth proportional to 13,172.76, 19,759.14 and 3,312 is: 4,968

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,172.76 : 19,759.14 = 3,312 : x
  2. Step 2: Convert to fraction form
    13,172.76/19,759.14 = 3,312/x
  3. Step 3: Cross multiply
    13,172.76x = 19,759.14 × 3,312
  4. Step 4: Simplify right side
    13,172.76x = 65,442,271.68
  5. Step 5: Solve for x
    x = 65,442,271.68/13,172.76
  6. Step 6: Final answer
    x = 4,968

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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.