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Finding the Fourth Proportional to 7,735, 10,664.32 and 6,317.20

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Solution

The fourth proportional to 7,735, 10,664.32 and 6,317.20 is: 8,709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735 : 10,664.32 = 6,317.20 : x
  2. Step 2: Convert to fraction form
    7,735/10,664.32 = 6,317.20/x
  3. Step 3: Cross multiply
    7,735x = 10,664.32 × 6,317.20
  4. Step 4: Simplify right side
    7,735x = 67,368,642.30
  5. Step 5: Solve for x
    x = 67,368,642.30/7,735
  6. Step 6: Final answer
    x = 8,709.59

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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.