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Finding the Fourth Proportional to 8,040, 12,045 and 4,743.30

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Solution

The fourth proportional to 8,040, 12,045 and 4,743.30 is: 7,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040 : 12,045 = 4,743.30 : x
  2. Step 2: Convert to fraction form
    8,040/12,045 = 4,743.30/x
  3. Step 3: Cross multiply
    8,040x = 12,045 × 4,743.30
  4. Step 4: Simplify right side
    8,040x = 57,133,048.50
  5. Step 5: Solve for x
    x = 57,133,048.50/8,040
  6. Step 6: Final answer
    x = 7,106.10

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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.