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Finding the Fourth Proportional to 9,772, 13,485.38 and 5,295.76

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Solution

The fourth proportional to 9,772, 13,485.38 and 5,295.76 is: 7,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 13,485.38 = 5,295.76 : x
  2. Step 2: Convert to fraction form
    9,772/13,485.38 = 5,295.76/x
  3. Step 3: Cross multiply
    9,772x = 13,485.38 × 5,295.76
  4. Step 4: Simplify right side
    9,772x = 71,415,335.99
  5. Step 5: Solve for x
    x = 71,415,335.99/9,772
  6. Step 6: Final answer
    x = 7,308.16

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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.