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Finding the Fourth Proportional to 7,870.01, 11,804.09 and 3,192.10

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Solution

The fourth proportional to 7,870.01, 11,804.09 and 3,192.10 is: 4,787.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.01 : 11,804.09 = 3,192.10 : x
  2. Step 2: Convert to fraction form
    7,870.01/11,804.09 = 3,192.10/x
  3. Step 3: Cross multiply
    7,870.01x = 11,804.09 × 3,192.10
  4. Step 4: Simplify right side
    7,870.01x = 37,679,814.16
  5. Step 5: Solve for x
    x = 37,679,814.16/7,870.01
  6. Step 6: Final answer
    x = 4,787.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.