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Finding the Fourth Proportional to 9,271.30, 13,900.80 and 5,113.30

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Solution

The fourth proportional to 9,271.30, 13,900.80 and 5,113.30 is: 7,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.30 : 13,900.80 = 5,113.30 : x
  2. Step 2: Convert to fraction form
    9,271.30/13,900.80 = 5,113.30/x
  3. Step 3: Cross multiply
    9,271.30x = 13,900.80 × 5,113.30
  4. Step 4: Simplify right side
    9,271.30x = 71,078,960.64
  5. Step 5: Solve for x
    x = 71,078,960.64/9,271.30
  6. Step 6: Final answer
    x = 7,666.56

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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.