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Finding the Fourth Proportional to 16,978.48, 23,430 and 9,526.48

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Solution

The fourth proportional to 16,978.48, 23,430 and 9,526.48 is: 13,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978.48 : 23,430 = 9,526.48 : x
  2. Step 2: Convert to fraction form
    16,978.48/23,430 = 9,526.48/x
  3. Step 3: Cross multiply
    16,978.48x = 23,430 × 9,526.48
  4. Step 4: Simplify right side
    16,978.48x = 223,205,426.40
  5. Step 5: Solve for x
    x = 223,205,426.40/16,978.48
  6. Step 6: Final answer
    x = 13,146.37

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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.