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Finding the Fourth Proportional to 9,001.86, 13,502.79 and 3,807.78

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Solution

The fourth proportional to 9,001.86, 13,502.79 and 3,807.78 is: 5,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.86 : 13,502.79 = 3,807.78 : x
  2. Step 2: Convert to fraction form
    9,001.86/13,502.79 = 3,807.78/x
  3. Step 3: Cross multiply
    9,001.86x = 13,502.79 × 3,807.78
  4. Step 4: Simplify right side
    9,001.86x = 51,415,653.71
  5. Step 5: Solve for x
    x = 51,415,653.71/9,001.86
  6. Step 6: Final answer
    x = 5,711.67

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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.