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Finding the Fourth Proportional to 5,203.72, 7,805.40 and 1,308.16

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Solution

The fourth proportional to 5,203.72, 7,805.40 and 1,308.16 is: 1,962.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.72 : 7,805.40 = 1,308.16 : x
  2. Step 2: Convert to fraction form
    5,203.72/7,805.40 = 1,308.16/x
  3. Step 3: Cross multiply
    5,203.72x = 7,805.40 × 1,308.16
  4. Step 4: Simplify right side
    5,203.72x = 10,210,712.06
  5. Step 5: Solve for x
    x = 10,210,712.06/5,203.72
  6. Step 6: Final answer
    x = 1,962.19

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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.