Home / 9,706.32-14,562-2,781.36

Finding the Fourth Proportional to 9,706.32, 14,562 and 2,781.36

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Solution

The fourth proportional to 9,706.32, 14,562 and 2,781.36 is: 4,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.32 : 14,562 = 2,781.36 : x
  2. Step 2: Convert to fraction form
    9,706.32/14,562 = 2,781.36/x
  3. Step 3: Cross multiply
    9,706.32x = 14,562 × 2,781.36
  4. Step 4: Simplify right side
    9,706.32x = 40,502,164.32
  5. Step 5: Solve for x
    x = 40,502,164.32/9,706.32
  6. Step 6: Final answer
    x = 4,172.76

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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.