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Finding the Fourth Proportional to 6,509.08, 8,978.88 and 4,147.12

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Solution

The fourth proportional to 6,509.08, 8,978.88 and 4,147.12 is: 5,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.08 : 8,978.88 = 4,147.12 : x
  2. Step 2: Convert to fraction form
    6,509.08/8,978.88 = 4,147.12/x
  3. Step 3: Cross multiply
    6,509.08x = 8,978.88 × 4,147.12
  4. Step 4: Simplify right side
    6,509.08x = 37,236,492.83
  5. Step 5: Solve for x
    x = 37,236,492.83/6,509.08
  6. Step 6: Final answer
    x = 5,720.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.