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Finding the Fourth Proportional to 7,107.63, 10,661.72 and 1,913.64

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Solution

The fourth proportional to 7,107.63, 10,661.72 and 1,913.64 is: 2,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.63 : 10,661.72 = 1,913.64 : x
  2. Step 2: Convert to fraction form
    7,107.63/10,661.72 = 1,913.64/x
  3. Step 3: Cross multiply
    7,107.63x = 10,661.72 × 1,913.64
  4. Step 4: Simplify right side
    7,107.63x = 20,402,684.29
  5. Step 5: Solve for x
    x = 20,402,684.29/7,107.63
  6. Step 6: Final answer
    x = 2,870.53

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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.