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Finding the Fourth Proportional to 4,777.64, 7,168.30 and 1,858

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Solution

The fourth proportional to 4,777.64, 7,168.30 and 1,858 is: 2,787.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.64 : 7,168.30 = 1,858 : x
  2. Step 2: Convert to fraction form
    4,777.64/7,168.30 = 1,858/x
  3. Step 3: Cross multiply
    4,777.64x = 7,168.30 × 1,858
  4. Step 4: Simplify right side
    4,777.64x = 13,318,701.40
  5. Step 5: Solve for x
    x = 13,318,701.40/4,777.64
  6. Step 6: Final answer
    x = 2,787.72

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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.