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Finding the Fourth Proportional to 6,971.60, 9,617.43 and 4,615.72

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Solution

The fourth proportional to 6,971.60, 9,617.43 and 4,615.72 is: 6,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.60 : 9,617.43 = 4,615.72 : x
  2. Step 2: Convert to fraction form
    6,971.60/9,617.43 = 4,615.72/x
  3. Step 3: Cross multiply
    6,971.60x = 9,617.43 × 4,615.72
  4. Step 4: Simplify right side
    6,971.60x = 44,391,357.26
  5. Step 5: Solve for x
    x = 44,391,357.26/6,971.60
  6. Step 6: Final answer
    x = 6,367.45

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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.