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Finding the Fourth Proportional to 2,812.50, 3,881.25 and 1,570.50

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Solution

The fourth proportional to 2,812.50, 3,881.25 and 1,570.50 is: 2,167.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.50 : 3,881.25 = 1,570.50 : x
  2. Step 2: Convert to fraction form
    2,812.50/3,881.25 = 1,570.50/x
  3. Step 3: Cross multiply
    2,812.50x = 3,881.25 × 1,570.50
  4. Step 4: Simplify right side
    2,812.50x = 6,095,503.13
  5. Step 5: Solve for x
    x = 6,095,503.13/2,812.50
  6. Step 6: Final answer
    x = 2,167.29

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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.