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Finding the Fourth Proportional to 12,303.70, 16,984.89 and 9,280.07

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Solution

The fourth proportional to 12,303.70, 16,984.89 and 9,280.07 is: 12,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.70 : 16,984.89 = 9,280.07 : x
  2. Step 2: Convert to fraction form
    12,303.70/16,984.89 = 9,280.07/x
  3. Step 3: Cross multiply
    12,303.70x = 16,984.89 × 9,280.07
  4. Step 4: Simplify right side
    12,303.70x = 157,620,946.91
  5. Step 5: Solve for x
    x = 157,620,946.91/12,303.70
  6. Step 6: Final answer
    x = 12,810.86

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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.