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Finding the Fourth Proportional to 4,647.24, 6,969.24 and 1,873.20

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Solution

The fourth proportional to 4,647.24, 6,969.24 and 1,873.20 is: 2,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.24 : 6,969.24 = 1,873.20 : x
  2. Step 2: Convert to fraction form
    4,647.24/6,969.24 = 1,873.20/x
  3. Step 3: Cross multiply
    4,647.24x = 6,969.24 × 1,873.20
  4. Step 4: Simplify right side
    4,647.24x = 13,054,780.37
  5. Step 5: Solve for x
    x = 13,054,780.37/4,647.24
  6. Step 6: Final answer
    x = 2,809.15

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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.