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Finding the Fourth Proportional to 7,812.95, 10,786.91 and 6,972.21

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Solution

The fourth proportional to 7,812.95, 10,786.91 and 6,972.21 is: 9,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.95 : 10,786.91 = 6,972.21 : x
  2. Step 2: Convert to fraction form
    7,812.95/10,786.91 = 6,972.21/x
  3. Step 3: Cross multiply
    7,812.95x = 10,786.91 × 6,972.21
  4. Step 4: Simplify right side
    7,812.95x = 75,208,547.84
  5. Step 5: Solve for x
    x = 75,208,547.84/7,812.95
  6. Step 6: Final answer
    x = 9,626.14

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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.