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Finding the Fourth Proportional to 25,762.56, 38,669.76 and 18,816

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Solution

The fourth proportional to 25,762.56, 38,669.76 and 18,816 is: 28,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.56 : 38,669.76 = 18,816 : x
  2. Step 2: Convert to fraction form
    25,762.56/38,669.76 = 18,816/x
  3. Step 3: Cross multiply
    25,762.56x = 38,669.76 × 18,816
  4. Step 4: Simplify right side
    25,762.56x = 727,610,204.16
  5. Step 5: Solve for x
    x = 727,610,204.16/25,762.56
  6. Step 6: Final answer
    x = 28,242.93

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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.