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Finding the Fourth Proportional to 5,130.80, 7,684.05 and 3,478.40

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Solution

The fourth proportional to 5,130.80, 7,684.05 and 3,478.40 is: 5,209.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.80 : 7,684.05 = 3,478.40 : x
  2. Step 2: Convert to fraction form
    5,130.80/7,684.05 = 3,478.40/x
  3. Step 3: Cross multiply
    5,130.80x = 7,684.05 × 3,478.40
  4. Step 4: Simplify right side
    5,130.80x = 26,728,199.52
  5. Step 5: Solve for x
    x = 26,728,199.52/5,130.80
  6. Step 6: Final answer
    x = 5,209.36

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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.