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Finding the Fourth Proportional to 7,106.33, 9,810.95 and 6,318.20

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Solution

The fourth proportional to 7,106.33, 9,810.95 and 6,318.20 is: 8,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.33 : 9,810.95 = 6,318.20 : x
  2. Step 2: Convert to fraction form
    7,106.33/9,810.95 = 6,318.20/x
  3. Step 3: Cross multiply
    7,106.33x = 9,810.95 × 6,318.20
  4. Step 4: Simplify right side
    7,106.33x = 61,987,544.29
  5. Step 5: Solve for x
    x = 61,987,544.29/7,106.33
  6. Step 6: Final answer
    x = 8,722.86

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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.