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Finding the Fourth Proportional to 7,720.34, 10,653.81 and 4,736.30

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Solution

The fourth proportional to 7,720.34, 10,653.81 and 4,736.30 is: 6,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.34 : 10,653.81 = 4,736.30 : x
  2. Step 2: Convert to fraction form
    7,720.34/10,653.81 = 4,736.30/x
  3. Step 3: Cross multiply
    7,720.34x = 10,653.81 × 4,736.30
  4. Step 4: Simplify right side
    7,720.34x = 50,459,640.30
  5. Step 5: Solve for x
    x = 50,459,640.30/7,720.34
  6. Step 6: Final answer
    x = 6,535.93

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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.