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Finding the Fourth Proportional to 1,880.56, 2,821 and 647.96

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Solution

The fourth proportional to 1,880.56, 2,821 and 647.96 is: 972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.56 : 2,821 = 647.96 : x
  2. Step 2: Convert to fraction form
    1,880.56/2,821 = 647.96/x
  3. Step 3: Cross multiply
    1,880.56x = 2,821 × 647.96
  4. Step 4: Simplify right side
    1,880.56x = 1,827,895.16
  5. Step 5: Solve for x
    x = 1,827,895.16/1,880.56
  6. Step 6: Final answer
    x = 972.00

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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.