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Finding the Fourth Proportional to 9,076.50, 13,686.08 and 7,365.78

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Solution

The fourth proportional to 9,076.50, 13,686.08 and 7,365.78 is: 11,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.50 : 13,686.08 = 7,365.78 : x
  2. Step 2: Convert to fraction form
    9,076.50/13,686.08 = 7,365.78/x
  3. Step 3: Cross multiply
    9,076.50x = 13,686.08 × 7,365.78
  4. Step 4: Simplify right side
    9,076.50x = 100,808,617.51
  5. Step 5: Solve for x
    x = 100,808,617.51/9,076.50
  6. Step 6: Final answer
    x = 11,106.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.