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Finding the Fourth Proportional to 9,313.61, 13,970.40 and 2,739.79

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Solution

The fourth proportional to 9,313.61, 13,970.40 and 2,739.79 is: 4,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.61 : 13,970.40 = 2,739.79 : x
  2. Step 2: Convert to fraction form
    9,313.61/13,970.40 = 2,739.79/x
  3. Step 3: Cross multiply
    9,313.61x = 13,970.40 × 2,739.79
  4. Step 4: Simplify right side
    9,313.61x = 38,275,962.22
  5. Step 5: Solve for x
    x = 38,275,962.22/9,313.61
  6. Step 6: Final answer
    x = 4,109.68

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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.