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Finding the Fourth Proportional to 6,869.68, 9,485.93 and 5,109.15

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Solution

The fourth proportional to 6,869.68, 9,485.93 and 5,109.15 is: 7,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.68 : 9,485.93 = 5,109.15 : x
  2. Step 2: Convert to fraction form
    6,869.68/9,485.93 = 5,109.15/x
  3. Step 3: Cross multiply
    6,869.68x = 9,485.93 × 5,109.15
  4. Step 4: Simplify right side
    6,869.68x = 48,465,039.26
  5. Step 5: Solve for x
    x = 48,465,039.26/6,869.68
  6. Step 6: Final answer
    x = 7,054.92

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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.