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Finding the Fourth Proportional to 5,202, 7,804.08 and 1,643.88

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Solution

The fourth proportional to 5,202, 7,804.08 and 1,643.88 is: 2,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202 : 7,804.08 = 1,643.88 : x
  2. Step 2: Convert to fraction form
    5,202/7,804.08 = 1,643.88/x
  3. Step 3: Cross multiply
    5,202x = 7,804.08 × 1,643.88
  4. Step 4: Simplify right side
    5,202x = 12,828,971.03
  5. Step 5: Solve for x
    x = 12,828,971.03/5,202
  6. Step 6: Final answer
    x = 2,466.16

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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.