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Finding the Fourth Proportional to 11,499.88, 15,865.74 and 6,783.16

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Solution

The fourth proportional to 11,499.88, 15,865.74 and 6,783.16 is: 9,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.88 : 15,865.74 = 6,783.16 : x
  2. Step 2: Convert to fraction form
    11,499.88/15,865.74 = 6,783.16/x
  3. Step 3: Cross multiply
    11,499.88x = 15,865.74 × 6,783.16
  4. Step 4: Simplify right side
    11,499.88x = 107,619,852.94
  5. Step 5: Solve for x
    x = 107,619,852.94/11,499.88
  6. Step 6: Final answer
    x = 9,358.35

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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.