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Finding the Fourth Proportional to 8,902.65, 12,285.64 and 5,124.44

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Solution

The fourth proportional to 8,902.65, 12,285.64 and 5,124.44 is: 7,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.65 : 12,285.64 = 5,124.44 : x
  2. Step 2: Convert to fraction form
    8,902.65/12,285.64 = 5,124.44/x
  3. Step 3: Cross multiply
    8,902.65x = 12,285.64 × 5,124.44
  4. Step 4: Simplify right side
    8,902.65x = 62,956,999.42
  5. Step 5: Solve for x
    x = 62,956,999.42/8,902.65
  6. Step 6: Final answer
    x = 7,071.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.