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Finding the Fourth Proportional to 7,440.42, 10,255 and 7,090.08

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Solution

The fourth proportional to 7,440.42, 10,255 and 7,090.08 is: 9,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.42 : 10,255 = 7,090.08 : x
  2. Step 2: Convert to fraction form
    7,440.42/10,255 = 7,090.08/x
  3. Step 3: Cross multiply
    7,440.42x = 10,255 × 7,090.08
  4. Step 4: Simplify right side
    7,440.42x = 72,708,770.40
  5. Step 5: Solve for x
    x = 72,708,770.40/7,440.42
  6. Step 6: Final answer
    x = 9,772.13

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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.