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Finding the Fourth Proportional to 6,971.64, 10,478.10 and 4,639.56

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Solution

The fourth proportional to 6,971.64, 10,478.10 and 4,639.56 is: 6,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.64 : 10,478.10 = 4,639.56 : x
  2. Step 2: Convert to fraction form
    6,971.64/10,478.10 = 4,639.56/x
  3. Step 3: Cross multiply
    6,971.64x = 10,478.10 × 4,639.56
  4. Step 4: Simplify right side
    6,971.64x = 48,613,773.64
  5. Step 5: Solve for x
    x = 48,613,773.64/6,971.64
  6. Step 6: Final answer
    x = 6,973.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.