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Finding the Fourth Proportional to 5,810.75, 8,018.50 and 3,158.14

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Solution

The fourth proportional to 5,810.75, 8,018.50 and 3,158.14 is: 4,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,810.75 : 8,018.50 = 3,158.14 : x
  2. Step 2: Convert to fraction form
    5,810.75/8,018.50 = 3,158.14/x
  3. Step 3: Cross multiply
    5,810.75x = 8,018.50 × 3,158.14
  4. Step 4: Simplify right side
    5,810.75x = 25,323,547.49
  5. Step 5: Solve for x
    x = 25,323,547.49/5,810.75
  6. Step 6: Final answer
    x = 4,358.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.