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Finding the Fourth Proportional to 5,289.53, 7,928.79 and 1,776.93

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Solution

The fourth proportional to 5,289.53, 7,928.79 and 1,776.93 is: 2,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.53 : 7,928.79 = 1,776.93 : x
  2. Step 2: Convert to fraction form
    5,289.53/7,928.79 = 1,776.93/x
  3. Step 3: Cross multiply
    5,289.53x = 7,928.79 × 1,776.93
  4. Step 4: Simplify right side
    5,289.53x = 14,088,904.81
  5. Step 5: Solve for x
    x = 14,088,904.81/5,289.53
  6. Step 6: Final answer
    x = 2,663.55

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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.