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Finding the Fourth Proportional to 6,078.60, 9,117 and 1,695.72

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Solution

The fourth proportional to 6,078.60, 9,117 and 1,695.72 is: 2,543.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.60 : 9,117 = 1,695.72 : x
  2. Step 2: Convert to fraction form
    6,078.60/9,117 = 1,695.72/x
  3. Step 3: Cross multiply
    6,078.60x = 9,117 × 1,695.72
  4. Step 4: Simplify right side
    6,078.60x = 15,459,879.24
  5. Step 5: Solve for x
    x = 15,459,879.24/6,078.60
  6. Step 6: Final answer
    x = 2,543.33

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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.