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Finding the Fourth Proportional to 5,318.83, 7,978.32 and 1,856.08

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Solution

The fourth proportional to 5,318.83, 7,978.32 and 1,856.08 is: 2,784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,318.83 : 7,978.32 = 1,856.08 : x
  2. Step 2: Convert to fraction form
    5,318.83/7,978.32 = 1,856.08/x
  3. Step 3: Cross multiply
    5,318.83x = 7,978.32 × 1,856.08
  4. Step 4: Simplify right side
    5,318.83x = 14,808,400.19
  5. Step 5: Solve for x
    x = 14,808,400.19/5,318.83
  6. Step 6: Final answer
    x = 2,784.15

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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.