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Finding the Fourth Proportional to 9,900.40, 13,667.56 and 7,657.20

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Solution

The fourth proportional to 9,900.40, 13,667.56 and 7,657.20 is: 10,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.40 : 13,667.56 = 7,657.20 : x
  2. Step 2: Convert to fraction form
    9,900.40/13,667.56 = 7,657.20/x
  3. Step 3: Cross multiply
    9,900.40x = 13,667.56 × 7,657.20
  4. Step 4: Simplify right side
    9,900.40x = 104,655,240.43
  5. Step 5: Solve for x
    x = 104,655,240.43/9,900.40
  6. Step 6: Final answer
    x = 10,570.81

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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.