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Finding the Fourth Proportional to 7,073.31, 9,762.93 and 4,090.88

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Solution

The fourth proportional to 7,073.31, 9,762.93 and 4,090.88 is: 5,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.31 : 9,762.93 = 4,090.88 : x
  2. Step 2: Convert to fraction form
    7,073.31/9,762.93 = 4,090.88/x
  3. Step 3: Cross multiply
    7,073.31x = 9,762.93 × 4,090.88
  4. Step 4: Simplify right side
    7,073.31x = 39,938,975.08
  5. Step 5: Solve for x
    x = 39,938,975.08/7,073.31
  6. Step 6: Final answer
    x = 5,646.43

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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.