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Finding the Fourth Proportional to 6,870.04, 9,471.69 and 6,777.09

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Solution

The fourth proportional to 6,870.04, 9,471.69 and 6,777.09 is: 9,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.04 : 9,471.69 = 6,777.09 : x
  2. Step 2: Convert to fraction form
    6,870.04/9,471.69 = 6,777.09/x
  3. Step 3: Cross multiply
    6,870.04x = 9,471.69 × 6,777.09
  4. Step 4: Simplify right side
    6,870.04x = 64,190,495.58
  5. Step 5: Solve for x
    x = 64,190,495.58/6,870.04
  6. Step 6: Final answer
    x = 9,343.54

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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.