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Finding the Fourth Proportional to 7,812.57, 10,779.14 and 4,624.46

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Solution

The fourth proportional to 7,812.57, 10,779.14 and 4,624.46 is: 6,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.57 : 10,779.14 = 4,624.46 : x
  2. Step 2: Convert to fraction form
    7,812.57/10,779.14 = 4,624.46/x
  3. Step 3: Cross multiply
    7,812.57x = 10,779.14 × 4,624.46
  4. Step 4: Simplify right side
    7,812.57x = 49,847,740.27
  5. Step 5: Solve for x
    x = 49,847,740.27/7,812.57
  6. Step 6: Final answer
    x = 6,380.45

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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.