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Finding the Fourth Proportional to 12,814.80, 17,685 and 8,558.40

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Solution

The fourth proportional to 12,814.80, 17,685 and 8,558.40 is: 11,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.80 : 17,685 = 8,558.40 : x
  2. Step 2: Convert to fraction form
    12,814.80/17,685 = 8,558.40/x
  3. Step 3: Cross multiply
    12,814.80x = 17,685 × 8,558.40
  4. Step 4: Simplify right side
    12,814.80x = 151,355,304
  5. Step 5: Solve for x
    x = 151,355,304/12,814.80
  6. Step 6: Final answer
    x = 11,810.98

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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.