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Finding the Fourth Proportional to 5,827.60, 8,730.60 and 5,438.80

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Solution

The fourth proportional to 5,827.60, 8,730.60 and 5,438.80 is: 8,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.60 : 8,730.60 = 5,438.80 : x
  2. Step 2: Convert to fraction form
    5,827.60/8,730.60 = 5,438.80/x
  3. Step 3: Cross multiply
    5,827.60x = 8,730.60 × 5,438.80
  4. Step 4: Simplify right side
    5,827.60x = 47,483,987.28
  5. Step 5: Solve for x
    x = 47,483,987.28/5,827.60
  6. Step 6: Final answer
    x = 8,148.12

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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.