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Finding the Fourth Proportional to 8,402, 12,602.76 and 2,557.76

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Solution

The fourth proportional to 8,402, 12,602.76 and 2,557.76 is: 3,836.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402 : 12,602.76 = 2,557.76 : x
  2. Step 2: Convert to fraction form
    8,402/12,602.76 = 2,557.76/x
  3. Step 3: Cross multiply
    8,402x = 12,602.76 × 2,557.76
  4. Step 4: Simplify right side
    8,402x = 32,234,835.42
  5. Step 5: Solve for x
    x = 32,234,835.42/8,402
  6. Step 6: Final answer
    x = 3,836.57

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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.