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Finding the Fourth Proportional to 8,521.60, 12,774.08 and 4,078.10

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Solution

The fourth proportional to 8,521.60, 12,774.08 and 4,078.10 is: 6,113.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,521.60 : 12,774.08 = 4,078.10 : x
  2. Step 2: Convert to fraction form
    8,521.60/12,774.08 = 4,078.10/x
  3. Step 3: Cross multiply
    8,521.60x = 12,774.08 × 4,078.10
  4. Step 4: Simplify right side
    8,521.60x = 52,093,975.65
  5. Step 5: Solve for x
    x = 52,093,975.65/8,521.60
  6. Step 6: Final answer
    x = 6,113.17

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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.