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Finding the Fourth Proportional to 9,810, 13,528.20 and 6,271.92

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Solution

The fourth proportional to 9,810, 13,528.20 and 6,271.92 is: 8,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810 : 13,528.20 = 6,271.92 : x
  2. Step 2: Convert to fraction form
    9,810/13,528.20 = 6,271.92/x
  3. Step 3: Cross multiply
    9,810x = 13,528.20 × 6,271.92
  4. Step 4: Simplify right side
    9,810x = 84,847,788.14
  5. Step 5: Solve for x
    x = 84,847,788.14/9,810
  6. Step 6: Final answer
    x = 8,649.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.