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Finding the Fourth Proportional to 7,788.22, 10,746.41 and 7,394.15

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Solution

The fourth proportional to 7,788.22, 10,746.41 and 7,394.15 is: 10,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.22 : 10,746.41 = 7,394.15 : x
  2. Step 2: Convert to fraction form
    7,788.22/10,746.41 = 7,394.15/x
  3. Step 3: Cross multiply
    7,788.22x = 10,746.41 × 7,394.15
  4. Step 4: Simplify right side
    7,788.22x = 79,460,557.40
  5. Step 5: Solve for x
    x = 79,460,557.40/7,788.22
  6. Step 6: Final answer
    x = 10,202.66

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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.