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Finding the Fourth Proportional to 18,312, 25,270.56 and 9,928.50

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Solution

The fourth proportional to 18,312, 25,270.56 and 9,928.50 is: 13,701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312 : 25,270.56 = 9,928.50 : x
  2. Step 2: Convert to fraction form
    18,312/25,270.56 = 9,928.50/x
  3. Step 3: Cross multiply
    18,312x = 25,270.56 × 9,928.50
  4. Step 4: Simplify right side
    18,312x = 250,898,754.96
  5. Step 5: Solve for x
    x = 250,898,754.96/18,312
  6. Step 6: Final answer
    x = 13,701.33

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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.