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Finding the Fourth Proportional to 9,313.02, 13,978.71 and 6,840.90

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Solution

The fourth proportional to 9,313.02, 13,978.71 and 6,840.90 is: 10,268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.02 : 13,978.71 = 6,840.90 : x
  2. Step 2: Convert to fraction form
    9,313.02/13,978.71 = 6,840.90/x
  3. Step 3: Cross multiply
    9,313.02x = 13,978.71 × 6,840.90
  4. Step 4: Simplify right side
    9,313.02x = 95,626,957.24
  5. Step 5: Solve for x
    x = 95,626,957.24/9,313.02
  6. Step 6: Final answer
    x = 10,268.09

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1.5x scale

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.