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Finding the Fourth Proportional to 13,074.84, 18,043.38 and 7,106.52

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Solution

The fourth proportional to 13,074.84, 18,043.38 and 7,106.52 is: 9,807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,074.84 : 18,043.38 = 7,106.52 : x
  2. Step 2: Convert to fraction form
    13,074.84/18,043.38 = 7,106.52/x
  3. Step 3: Cross multiply
    13,074.84x = 18,043.38 × 7,106.52
  4. Step 4: Simplify right side
    13,074.84x = 128,225,640.84
  5. Step 5: Solve for x
    x = 128,225,640.84/13,074.84
  6. Step 6: Final answer
    x = 9,807.05

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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.