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Finding the Fourth Proportional to 2,114.88, 2,916.74 and 1,585.00

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Solution

The fourth proportional to 2,114.88, 2,916.74 and 1,585.00 is: 2,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.88 : 2,916.74 = 1,585.00 : x
  2. Step 2: Convert to fraction form
    2,114.88/2,916.74 = 1,585.00/x
  3. Step 3: Cross multiply
    2,114.88x = 2,916.74 × 1,585.00
  4. Step 4: Simplify right side
    2,114.88x = 4,623,040.51
  5. Step 5: Solve for x
    x = 4,623,040.51/2,114.88
  6. Step 6: Final answer
    x = 2,185.96

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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.