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Finding the Fourth Proportional to 4,868.72, 7,303.14 and 1,406

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Solution

The fourth proportional to 4,868.72, 7,303.14 and 1,406 is: 2,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.72 : 7,303.14 = 1,406 : x
  2. Step 2: Convert to fraction form
    4,868.72/7,303.14 = 1,406/x
  3. Step 3: Cross multiply
    4,868.72x = 7,303.14 × 1,406
  4. Step 4: Simplify right side
    4,868.72x = 10,268,214.84
  5. Step 5: Solve for x
    x = 10,268,214.84/4,868.72
  6. Step 6: Final answer
    x = 2,109.02

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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.