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Finding the Fourth Proportional to 7,246, 10,870.86 and 2,051.86

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Solution

The fourth proportional to 7,246, 10,870.86 and 2,051.86 is: 3,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246 : 10,870.86 = 2,051.86 : x
  2. Step 2: Convert to fraction form
    7,246/10,870.86 = 2,051.86/x
  3. Step 3: Cross multiply
    7,246x = 10,870.86 × 2,051.86
  4. Step 4: Simplify right side
    7,246x = 22,305,482.80
  5. Step 5: Solve for x
    x = 22,305,482.80/7,246
  6. Step 6: Final answer
    x = 3,078.32

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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.