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Finding the Fourth Proportional to 7,357.80, 11,040.30 and 5,602.20

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Solution

The fourth proportional to 7,357.80, 11,040.30 and 5,602.20 is: 8,406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.80 : 11,040.30 = 5,602.20 : x
  2. Step 2: Convert to fraction form
    7,357.80/11,040.30 = 5,602.20/x
  3. Step 3: Cross multiply
    7,357.80x = 11,040.30 × 5,602.20
  4. Step 4: Simplify right side
    7,357.80x = 61,849,968.66
  5. Step 5: Solve for x
    x = 61,849,968.66/7,357.80
  6. Step 6: Final answer
    x = 8,406.04

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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.