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Finding the Fourth Proportional to 21,698.56, 32,541.23 and 7,655.31

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Solution

The fourth proportional to 21,698.56, 32,541.23 and 7,655.31 is: 11,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.56 : 32,541.23 = 7,655.31 : x
  2. Step 2: Convert to fraction form
    21,698.56/32,541.23 = 7,655.31/x
  3. Step 3: Cross multiply
    21,698.56x = 32,541.23 × 7,655.31
  4. Step 4: Simplify right side
    21,698.56x = 249,113,217.87
  5. Step 5: Solve for x
    x = 249,113,217.87/21,698.56
  6. Step 6: Final answer
    x = 11,480.63

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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.