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Finding the Fourth Proportional to 8,470, 11,688.60 and 5,158

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Solution

The fourth proportional to 8,470, 11,688.60 and 5,158 is: 7,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470 : 11,688.60 = 5,158 : x
  2. Step 2: Convert to fraction form
    8,470/11,688.60 = 5,158/x
  3. Step 3: Cross multiply
    8,470x = 11,688.60 × 5,158
  4. Step 4: Simplify right side
    8,470x = 60,289,798.80
  5. Step 5: Solve for x
    x = 60,289,798.80/8,470
  6. Step 6: Final answer
    x = 7,118.04

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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.