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Finding the Fourth Proportional to 5,130.40, 7,688.40 and 3,803.80

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Solution

The fourth proportional to 5,130.40, 7,688.40 and 3,803.80 is: 5,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.40 : 7,688.40 = 3,803.80 : x
  2. Step 2: Convert to fraction form
    5,130.40/7,688.40 = 3,803.80/x
  3. Step 3: Cross multiply
    5,130.40x = 7,688.40 × 3,803.80
  4. Step 4: Simplify right side
    5,130.40x = 29,245,135.92
  5. Step 5: Solve for x
    x = 29,245,135.92/5,130.40
  6. Step 6: Final answer
    x = 5,700.36

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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.