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Finding the Fourth Proportional to 7,039.81, 10,612.46 and 6,564.16

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Solution

The fourth proportional to 7,039.81, 10,612.46 and 6,564.16 is: 9,895.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.81 : 10,612.46 = 6,564.16 : x
  2. Step 2: Convert to fraction form
    7,039.81/10,612.46 = 6,564.16/x
  3. Step 3: Cross multiply
    7,039.81x = 10,612.46 × 6,564.16
  4. Step 4: Simplify right side
    7,039.81x = 69,661,885.43
  5. Step 5: Solve for x
    x = 69,661,885.43/7,039.81
  6. Step 6: Final answer
    x = 9,895.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.