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Finding the Fourth Proportional to 4,762.35, 7,142.72 and 1,298.79

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Solution

The fourth proportional to 4,762.35, 7,142.72 and 1,298.79 is: 1,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.35 : 7,142.72 = 1,298.79 : x
  2. Step 2: Convert to fraction form
    4,762.35/7,142.72 = 1,298.79/x
  3. Step 3: Cross multiply
    4,762.35x = 7,142.72 × 1,298.79
  4. Step 4: Simplify right side
    4,762.35x = 9,276,886.81
  5. Step 5: Solve for x
    x = 9,276,886.81/4,762.35
  6. Step 6: Final answer
    x = 1,947.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.