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Finding the Fourth Proportional to 2,152, 2,969.76 and 1,220.50

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Solution

The fourth proportional to 2,152, 2,969.76 and 1,220.50 is: 1,684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152 : 2,969.76 = 1,220.50 : x
  2. Step 2: Convert to fraction form
    2,152/2,969.76 = 1,220.50/x
  3. Step 3: Cross multiply
    2,152x = 2,969.76 × 1,220.50
  4. Step 4: Simplify right side
    2,152x = 3,624,592.08
  5. Step 5: Solve for x
    x = 3,624,592.08/2,152
  6. Step 6: Final answer
    x = 1,684.29

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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.