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Finding the Fourth Proportional to 4,509.56, 6,763.74 and 1,587.50

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Solution

The fourth proportional to 4,509.56, 6,763.74 and 1,587.50 is: 2,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.56 : 6,763.74 = 1,587.50 : x
  2. Step 2: Convert to fraction form
    4,509.56/6,763.74 = 1,587.50/x
  3. Step 3: Cross multiply
    4,509.56x = 6,763.74 × 1,587.50
  4. Step 4: Simplify right side
    4,509.56x = 10,737,437.25
  5. Step 5: Solve for x
    x = 10,737,437.25/4,509.56
  6. Step 6: Final answer
    x = 2,381.04

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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.