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Finding the Fourth Proportional to 8,440.65, 11,648.39 and 5,298.57

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Solution

The fourth proportional to 8,440.65, 11,648.39 and 5,298.57 is: 7,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.65 : 11,648.39 = 5,298.57 : x
  2. Step 2: Convert to fraction form
    8,440.65/11,648.39 = 5,298.57/x
  3. Step 3: Cross multiply
    8,440.65x = 11,648.39 × 5,298.57
  4. Step 4: Simplify right side
    8,440.65x = 61,719,783.31
  5. Step 5: Solve for x
    x = 61,719,783.31/8,440.65
  6. Step 6: Final answer
    x = 7,312.21

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