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Finding the Fourth Proportional to 7,070.89, 9,757.95 and 3,840.71

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Solution

The fourth proportional to 7,070.89, 9,757.95 and 3,840.71 is: 5,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.89 : 9,757.95 = 3,840.71 : x
  2. Step 2: Convert to fraction form
    7,070.89/9,757.95 = 3,840.71/x
  3. Step 3: Cross multiply
    7,070.89x = 9,757.95 × 3,840.71
  4. Step 4: Simplify right side
    7,070.89x = 37,477,456.14
  5. Step 5: Solve for x
    x = 37,477,456.14/7,070.89
  6. Step 6: Final answer
    x = 5,300.25

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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.