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Finding the Fourth Proportional to 7,705.74, 10,628.90 and 4,720.48

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Solution

The fourth proportional to 7,705.74, 10,628.90 and 4,720.48 is: 6,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.74 : 10,628.90 = 4,720.48 : x
  2. Step 2: Convert to fraction form
    7,705.74/10,628.90 = 4,720.48/x
  3. Step 3: Cross multiply
    7,705.74x = 10,628.90 × 4,720.48
  4. Step 4: Simplify right side
    7,705.74x = 50,173,509.87
  5. Step 5: Solve for x
    x = 50,173,509.87/7,705.74
  6. Step 6: Final answer
    x = 6,511.19

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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.