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Finding the Fourth Proportional to 14,970.82, 20,658.09 and 8,681.98

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Solution

The fourth proportional to 14,970.82, 20,658.09 and 8,681.98 is: 11,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.82 : 20,658.09 = 8,681.98 : x
  2. Step 2: Convert to fraction form
    14,970.82/20,658.09 = 8,681.98/x
  3. Step 3: Cross multiply
    14,970.82x = 20,658.09 × 8,681.98
  4. Step 4: Simplify right side
    14,970.82x = 179,353,124.22
  5. Step 5: Solve for x
    x = 179,353,124.22/14,970.82
  6. Step 6: Final answer
    x = 11,980.18

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1.5x scale

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.