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Finding the Fourth Proportional to 5,653.86, 7,807.77 and 3,889.68

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Solution

The fourth proportional to 5,653.86, 7,807.77 and 3,889.68 is: 5,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.86 : 7,807.77 = 3,889.68 : x
  2. Step 2: Convert to fraction form
    5,653.86/7,807.77 = 3,889.68/x
  3. Step 3: Cross multiply
    5,653.86x = 7,807.77 × 3,889.68
  4. Step 4: Simplify right side
    5,653.86x = 30,369,726.81
  5. Step 5: Solve for x
    x = 30,369,726.81/5,653.86
  6. Step 6: Final answer
    x = 5,371.50

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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.