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Finding the Fourth Proportional to 26,430.84, 39,645 and 8,901.36

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Solution

The fourth proportional to 26,430.84, 39,645 and 8,901.36 is: 13,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430.84 : 39,645 = 8,901.36 : x
  2. Step 2: Convert to fraction form
    26,430.84/39,645 = 8,901.36/x
  3. Step 3: Cross multiply
    26,430.84x = 39,645 × 8,901.36
  4. Step 4: Simplify right side
    26,430.84x = 352,894,417.20
  5. Step 5: Solve for x
    x = 352,894,417.20/26,430.84
  6. Step 6: Final answer
    x = 13,351.62

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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.