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Finding the Fourth Proportional to 12,000.70, 18,009.15 and 7,830.55

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Solution

The fourth proportional to 12,000.70, 18,009.15 and 7,830.55 is: 11,751.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.70 : 18,009.15 = 7,830.55 : x
  2. Step 2: Convert to fraction form
    12,000.70/18,009.15 = 7,830.55/x
  3. Step 3: Cross multiply
    12,000.70x = 18,009.15 × 7,830.55
  4. Step 4: Simplify right side
    12,000.70x = 141,021,549.53
  5. Step 5: Solve for x
    x = 141,021,549.53/12,000.70
  6. Step 6: Final answer
    x = 11,751.11

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1.5x scale

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.