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Finding the Fourth Proportional to 5,971.20, 8,947.20 and 5,145.60

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Solution

The fourth proportional to 5,971.20, 8,947.20 and 5,145.60 is: 7,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.20 : 8,947.20 = 5,145.60 : x
  2. Step 2: Convert to fraction form
    5,971.20/8,947.20 = 5,145.60/x
  3. Step 3: Cross multiply
    5,971.20x = 8,947.20 × 5,145.60
  4. Step 4: Simplify right side
    5,971.20x = 46,038,712.32
  5. Step 5: Solve for x
    x = 46,038,712.32/5,971.20
  6. Step 6: Final answer
    x = 7,710.13

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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.