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Finding the Fourth Proportional to 5,292.63, 7,938.95 and 1,830.15

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Solution

The fourth proportional to 5,292.63, 7,938.95 and 1,830.15 is: 2,745.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.63 : 7,938.95 = 1,830.15 : x
  2. Step 2: Convert to fraction form
    5,292.63/7,938.95 = 1,830.15/x
  3. Step 3: Cross multiply
    5,292.63x = 7,938.95 × 1,830.15
  4. Step 4: Simplify right side
    5,292.63x = 14,529,460.19
  5. Step 5: Solve for x
    x = 14,529,460.19/5,292.63
  6. Step 6: Final answer
    x = 2,745.23

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1.5x scale

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.