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Finding the Fourth Proportional to 7,813.87, 10,788.17 and 6,973.13

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Solution

The fourth proportional to 7,813.87, 10,788.17 and 6,973.13 is: 9,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.87 : 10,788.17 = 6,973.13 : x
  2. Step 2: Convert to fraction form
    7,813.87/10,788.17 = 6,973.13/x
  3. Step 3: Cross multiply
    7,813.87x = 10,788.17 × 6,973.13
  4. Step 4: Simplify right side
    7,813.87x = 75,227,223.07
  5. Step 5: Solve for x
    x = 75,227,223.07/7,813.87
  6. Step 6: Final answer
    x = 9,627.40

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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.