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Finding the Fourth Proportional to 12,813.70, 17,684.64 and 7,510.64

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Solution

The fourth proportional to 12,813.70, 17,684.64 and 7,510.64 is: 10,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.70 : 17,684.64 = 7,510.64 : x
  2. Step 2: Convert to fraction form
    12,813.70/17,684.64 = 7,510.64/x
  3. Step 3: Cross multiply
    12,813.70x = 17,684.64 × 7,510.64
  4. Step 4: Simplify right side
    12,813.70x = 132,822,964.57
  5. Step 5: Solve for x
    x = 132,822,964.57/12,813.70
  6. Step 6: Final answer
    x = 10,365.70

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1.5x scale

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.