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Finding the Fourth Proportional to 6,143.58, 9,215.46 and 1,526.58

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Solution

The fourth proportional to 6,143.58, 9,215.46 and 1,526.58 is: 2,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.58 : 9,215.46 = 1,526.58 : x
  2. Step 2: Convert to fraction form
    6,143.58/9,215.46 = 1,526.58/x
  3. Step 3: Cross multiply
    6,143.58x = 9,215.46 × 1,526.58
  4. Step 4: Simplify right side
    6,143.58x = 14,068,136.93
  5. Step 5: Solve for x
    x = 14,068,136.93/6,143.58
  6. Step 6: Final answer
    x = 2,289.89

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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.