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Finding the Fourth Proportional to 2,912, 4,368.16 and 860.16

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Solution

The fourth proportional to 2,912, 4,368.16 and 860.16 is: 1,290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912 : 4,368.16 = 860.16 : x
  2. Step 2: Convert to fraction form
    2,912/4,368.16 = 860.16/x
  3. Step 3: Cross multiply
    2,912x = 4,368.16 × 860.16
  4. Step 4: Simplify right side
    2,912x = 3,757,316.51
  5. Step 5: Solve for x
    x = 3,757,316.51/2,912
  6. Step 6: Final answer
    x = 1,290.29

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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.