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Finding the Fourth Proportional to 9,376.40, 14,062.80 and 2,802.80

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Solution

The fourth proportional to 9,376.40, 14,062.80 and 2,802.80 is: 4,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.40 : 14,062.80 = 2,802.80 : x
  2. Step 2: Convert to fraction form
    9,376.40/14,062.80 = 2,802.80/x
  3. Step 3: Cross multiply
    9,376.40x = 14,062.80 × 2,802.80
  4. Step 4: Simplify right side
    9,376.40x = 39,415,215.84
  5. Step 5: Solve for x
    x = 39,415,215.84/9,376.40
  6. Step 6: Final answer
    x = 4,203.66

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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.