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Finding the Fourth Proportional to 18,988.74, 28,474.91 and 6,509.98

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Solution

The fourth proportional to 18,988.74, 28,474.91 and 6,509.98 is: 9,762.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,988.74 : 28,474.91 = 6,509.98 : x
  2. Step 2: Convert to fraction form
    18,988.74/28,474.91 = 6,509.98/x
  3. Step 3: Cross multiply
    18,988.74x = 28,474.91 × 6,509.98
  4. Step 4: Simplify right side
    18,988.74x = 185,371,122.06
  5. Step 5: Solve for x
    x = 185,371,122.06/18,988.74
  6. Step 6: Final answer
    x = 9,762.16

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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.