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Finding the Fourth Proportional to 7,090.42, 9,785.88 and 4,259.37

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Solution

The fourth proportional to 7,090.42, 9,785.88 and 4,259.37 is: 5,878.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.42 : 9,785.88 = 4,259.37 : x
  2. Step 2: Convert to fraction form
    7,090.42/9,785.88 = 4,259.37/x
  3. Step 3: Cross multiply
    7,090.42x = 9,785.88 × 4,259.37
  4. Step 4: Simplify right side
    7,090.42x = 41,681,683.70
  5. Step 5: Solve for x
    x = 41,681,683.70/7,090.42
  6. Step 6: Final answer
    x = 5,878.59

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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.