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Finding the Fourth Proportional to 4,752.55, 7,130.04 and 1,830.07

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Solution

The fourth proportional to 4,752.55, 7,130.04 and 1,830.07 is: 2,745.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.55 : 7,130.04 = 1,830.07 : x
  2. Step 2: Convert to fraction form
    4,752.55/7,130.04 = 1,830.07/x
  3. Step 3: Cross multiply
    4,752.55x = 7,130.04 × 1,830.07
  4. Step 4: Simplify right side
    4,752.55x = 13,048,472.30
  5. Step 5: Solve for x
    x = 13,048,472.30/4,752.55
  6. Step 6: Final answer
    x = 2,745.57

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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.