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Finding the Fourth Proportional to 5,730.30, 8,039.70 and 5,730.30

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Solution

The fourth proportional to 5,730.30, 8,039.70 and 5,730.30 is: 8,039.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.30 : 8,039.70 = 5,730.30 : x
  2. Step 2: Convert to fraction form
    5,730.30/8,039.70 = 5,730.30/x
  3. Step 3: Cross multiply
    5,730.30x = 8,039.70 × 5,730.30
  4. Step 4: Simplify right side
    5,730.30x = 46,069,892.91
  5. Step 5: Solve for x
    x = 46,069,892.91/5,730.30
  6. Step 6: Final answer
    x = 8,039.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.