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Finding the Fourth Proportional to 12,023.40, 18,035.10 and 7,866.90

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Solution

The fourth proportional to 12,023.40, 18,035.10 and 7,866.90 is: 11,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.40 : 18,035.10 = 7,866.90 : x
  2. Step 2: Convert to fraction form
    12,023.40/18,035.10 = 7,866.90/x
  3. Step 3: Cross multiply
    12,023.40x = 18,035.10 × 7,866.90
  4. Step 4: Simplify right side
    12,023.40x = 141,880,328.19
  5. Step 5: Solve for x
    x = 141,880,328.19/12,023.40
  6. Step 6: Final answer
    x = 11,800.35

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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.