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Finding the Fourth Proportional to 6,457.58, 9,689.64 and 4,817.42

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Solution

The fourth proportional to 6,457.58, 9,689.64 and 4,817.42 is: 7,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.58 : 9,689.64 = 4,817.42 : x
  2. Step 2: Convert to fraction form
    6,457.58/9,689.64 = 4,817.42/x
  3. Step 3: Cross multiply
    6,457.58x = 9,689.64 × 4,817.42
  4. Step 4: Simplify right side
    6,457.58x = 46,679,065.53
  5. Step 5: Solve for x
    x = 46,679,065.53/6,457.58
  6. Step 6: Final answer
    x = 7,228.57

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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.