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Finding the Fourth Proportional to 6,971.98, 9,615.75 and 6,130.96

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Solution

The fourth proportional to 6,971.98, 9,615.75 and 6,130.96 is: 8,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.98 : 9,615.75 = 6,130.96 : x
  2. Step 2: Convert to fraction form
    6,971.98/9,615.75 = 6,130.96/x
  3. Step 3: Cross multiply
    6,971.98x = 9,615.75 × 6,130.96
  4. Step 4: Simplify right side
    6,971.98x = 58,953,778.62
  5. Step 5: Solve for x
    x = 58,953,778.62/6,971.98
  6. Step 6: Final answer
    x = 8,455.82

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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.