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Finding the Fourth Proportional to 6,475.40, 9,714.10 and 1,858.40

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Solution

The fourth proportional to 6,475.40, 9,714.10 and 1,858.40 is: 2,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.40 : 9,714.10 = 1,858.40 : x
  2. Step 2: Convert to fraction form
    6,475.40/9,714.10 = 1,858.40/x
  3. Step 3: Cross multiply
    6,475.40x = 9,714.10 × 1,858.40
  4. Step 4: Simplify right side
    6,475.40x = 18,052,683.44
  5. Step 5: Solve for x
    x = 18,052,683.44/6,475.40
  6. Step 6: Final answer
    x = 2,787.89

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1.5x scale

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.