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Finding the Fourth Proportional to 5,182.36, 7,774.08 and 1,719.88

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Solution

The fourth proportional to 5,182.36, 7,774.08 and 1,719.88 is: 2,580.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.36 : 7,774.08 = 1,719.88 : x
  2. Step 2: Convert to fraction form
    5,182.36/7,774.08 = 1,719.88/x
  3. Step 3: Cross multiply
    5,182.36x = 7,774.08 × 1,719.88
  4. Step 4: Simplify right side
    5,182.36x = 13,370,484.71
  5. Step 5: Solve for x
    x = 13,370,484.71/5,182.36
  6. Step 6: Final answer
    x = 2,580.00

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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.