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Finding the Fourth Proportional to 9,201, 13,780.84 and 7,106.36

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Solution

The fourth proportional to 9,201, 13,780.84 and 7,106.36 is: 10,643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201 : 13,780.84 = 7,106.36 : x
  2. Step 2: Convert to fraction form
    9,201/13,780.84 = 7,106.36/x
  3. Step 3: Cross multiply
    9,201x = 13,780.84 × 7,106.36
  4. Step 4: Simplify right side
    9,201x = 97,931,610.14
  5. Step 5: Solve for x
    x = 97,931,610.14/9,201
  6. Step 6: Final answer
    x = 10,643.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.