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Finding the Fourth Proportional to 14,272.80, 19,700.96 and 9,802.80

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Solution

The fourth proportional to 14,272.80, 19,700.96 and 9,802.80 is: 13,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272.80 : 19,700.96 = 9,802.80 : x
  2. Step 2: Convert to fraction form
    14,272.80/19,700.96 = 9,802.80/x
  3. Step 3: Cross multiply
    14,272.80x = 19,700.96 × 9,802.80
  4. Step 4: Simplify right side
    14,272.80x = 193,124,570.69
  5. Step 5: Solve for x
    x = 193,124,570.69/14,272.80
  6. Step 6: Final answer
    x = 13,530.95

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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.