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Finding the Fourth Proportional to 5,482.04, 8,221.86 and 1,585.60

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Solution

The fourth proportional to 5,482.04, 8,221.86 and 1,585.60 is: 2,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,482.04 : 8,221.86 = 1,585.60 : x
  2. Step 2: Convert to fraction form
    5,482.04/8,221.86 = 1,585.60/x
  3. Step 3: Cross multiply
    5,482.04x = 8,221.86 × 1,585.60
  4. Step 4: Simplify right side
    5,482.04x = 13,036,581.22
  5. Step 5: Solve for x
    x = 13,036,581.22/5,482.04
  6. Step 6: Final answer
    x = 2,378.05

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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.