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Finding the Fourth Proportional to 7,820.91, 10,797.88 and 6,980.17

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Solution

The fourth proportional to 7,820.91, 10,797.88 and 6,980.17 is: 9,637.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.91 : 10,797.88 = 6,980.17 : x
  2. Step 2: Convert to fraction form
    7,820.91/10,797.88 = 6,980.17/x
  3. Step 3: Cross multiply
    7,820.91x = 10,797.88 × 6,980.17
  4. Step 4: Simplify right side
    7,820.91x = 75,371,038.04
  5. Step 5: Solve for x
    x = 75,371,038.04/7,820.91
  6. Step 6: Final answer
    x = 9,637.12

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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.