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Finding the Fourth Proportional to 9,651.72, 13,319.38 and 5,235.72

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Solution

The fourth proportional to 9,651.72, 13,319.38 and 5,235.72 is: 7,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.72 : 13,319.38 = 5,235.72 : x
  2. Step 2: Convert to fraction form
    9,651.72/13,319.38 = 5,235.72/x
  3. Step 3: Cross multiply
    9,651.72x = 13,319.38 × 5,235.72
  4. Step 4: Simplify right side
    9,651.72x = 69,736,544.25
  5. Step 5: Solve for x
    x = 69,736,544.25/9,651.72
  6. Step 6: Final answer
    x = 7,225.30

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Double scale
Find fourth proportional to 9,652.72, 13,320.76 and 5,236.72
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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.