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Finding the Fourth Proportional to 5,800.40, 8,681.40 and 4,072.40

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Solution

The fourth proportional to 5,800.40, 8,681.40 and 4,072.40 is: 6,095.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.40 : 8,681.40 = 4,072.40 : x
  2. Step 2: Convert to fraction form
    5,800.40/8,681.40 = 4,072.40/x
  3. Step 3: Cross multiply
    5,800.40x = 8,681.40 × 4,072.40
  4. Step 4: Simplify right side
    5,800.40x = 35,354,133.36
  5. Step 5: Solve for x
    x = 35,354,133.36/5,800.40
  6. Step 6: Final answer
    x = 6,095.12

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