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Finding the Fourth Proportional to 7,888.21, 11,830.29 and 2,340.30

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Solution

The fourth proportional to 7,888.21, 11,830.29 and 2,340.30 is: 3,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,888.21 : 11,830.29 = 2,340.30 : x
  2. Step 2: Convert to fraction form
    7,888.21/11,830.29 = 2,340.30/x
  3. Step 3: Cross multiply
    7,888.21x = 11,830.29 × 2,340.30
  4. Step 4: Simplify right side
    7,888.21x = 27,686,368.54
  5. Step 5: Solve for x
    x = 27,686,368.54/7,888.21
  6. Step 6: Final answer
    x = 3,509.84

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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.