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Finding the Fourth Proportional to 10,376.84, 14,320 and 5,661.12

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Solution

The fourth proportional to 10,376.84, 14,320 and 5,661.12 is: 7,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.84 : 14,320 = 5,661.12 : x
  2. Step 2: Convert to fraction form
    10,376.84/14,320 = 5,661.12/x
  3. Step 3: Cross multiply
    10,376.84x = 14,320 × 5,661.12
  4. Step 4: Simplify right side
    10,376.84x = 81,067,238.40
  5. Step 5: Solve for x
    x = 81,067,238.40/10,376.84
  6. Step 6: Final answer
    x = 7,812.32

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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.