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Finding the Fourth Proportional to 5,213.93, 7,810.81 and 2,898.41

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Solution

The fourth proportional to 5,213.93, 7,810.81 and 2,898.41 is: 4,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.93 : 7,810.81 = 2,898.41 : x
  2. Step 2: Convert to fraction form
    5,213.93/7,810.81 = 2,898.41/x
  3. Step 3: Cross multiply
    5,213.93x = 7,810.81 × 2,898.41
  4. Step 4: Simplify right side
    5,213.93x = 22,638,883.51
  5. Step 5: Solve for x
    x = 22,638,883.51/5,213.93
  6. Step 6: Final answer
    x = 4,342.00

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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.