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Finding the Fourth Proportional to 9,809.60, 13,768 and 9,809.60

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Solution

The fourth proportional to 9,809.60, 13,768 and 9,809.60 is: 13,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.60 : 13,768 = 9,809.60 : x
  2. Step 2: Convert to fraction form
    9,809.60/13,768 = 9,809.60/x
  3. Step 3: Cross multiply
    9,809.60x = 13,768 × 9,809.60
  4. Step 4: Simplify right side
    9,809.60x = 135,058,572.80
  5. Step 5: Solve for x
    x = 135,058,572.80/9,809.60
  6. Step 6: Final answer
    x = 13,768

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.