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Finding the Fourth Proportional to 1,880.50, 2,595.10 and 1,052.50

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Solution

The fourth proportional to 1,880.50, 2,595.10 and 1,052.50 is: 1,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.50 : 2,595.10 = 1,052.50 : x
  2. Step 2: Convert to fraction form
    1,880.50/2,595.10 = 1,052.50/x
  3. Step 3: Cross multiply
    1,880.50x = 2,595.10 × 1,052.50
  4. Step 4: Simplify right side
    1,880.50x = 2,731,342.75
  5. Step 5: Solve for x
    x = 2,731,342.75/1,880.50
  6. Step 6: Final answer
    x = 1,452.46

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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.