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Finding the Fourth Proportional to 7,821.04, 10,798.05 and 6,980.30

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Solution

The fourth proportional to 7,821.04, 10,798.05 and 6,980.30 is: 9,637.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.04 : 10,798.05 = 6,980.30 : x
  2. Step 2: Convert to fraction form
    7,821.04/10,798.05 = 6,980.30/x
  3. Step 3: Cross multiply
    7,821.04x = 10,798.05 × 6,980.30
  4. Step 4: Simplify right side
    7,821.04x = 75,373,628.42
  5. Step 5: Solve for x
    x = 75,373,628.42/7,821.04
  6. Step 6: Final answer
    x = 9,637.29

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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.