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Finding the Fourth Proportional to 21,320.16, 31,978.08 and 5,739.36

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Solution

The fourth proportional to 21,320.16, 31,978.08 and 5,739.36 is: 8,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320.16 : 31,978.08 = 5,739.36 : x
  2. Step 2: Convert to fraction form
    21,320.16/31,978.08 = 5,739.36/x
  3. Step 3: Cross multiply
    21,320.16x = 31,978.08 × 5,739.36
  4. Step 4: Simplify right side
    21,320.16x = 183,533,713.23
  5. Step 5: Solve for x
    x = 183,533,713.23/21,320.16
  6. Step 6: Final answer
    x = 8,608.46

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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.