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Finding the Fourth Proportional to 5,600, 8,409.60 and 5,308.16

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Solution

The fourth proportional to 5,600, 8,409.60 and 5,308.16 is: 7,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600 : 8,409.60 = 5,308.16 : x
  2. Step 2: Convert to fraction form
    5,600/8,409.60 = 5,308.16/x
  3. Step 3: Cross multiply
    5,600x = 8,409.60 × 5,308.16
  4. Step 4: Simplify right side
    5,600x = 44,639,502.34
  5. Step 5: Solve for x
    x = 44,639,502.34/5,600
  6. Step 6: Final answer
    x = 7,971.34

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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.