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Finding the Fourth Proportional to 7,826.63, 10,800.74 and 4,289.86

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Solution

The fourth proportional to 7,826.63, 10,800.74 and 4,289.86 is: 5,920.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.63 : 10,800.74 = 4,289.86 : x
  2. Step 2: Convert to fraction form
    7,826.63/10,800.74 = 4,289.86/x
  3. Step 3: Cross multiply
    7,826.63x = 10,800.74 × 4,289.86
  4. Step 4: Simplify right side
    7,826.63x = 46,333,686.72
  5. Step 5: Solve for x
    x = 46,333,686.72/7,826.63
  6. Step 6: Final answer
    x = 5,920.01

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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.