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Finding the Fourth Proportional to 12,367.84, 18,557.88 and 7,686.46

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Solution

The fourth proportional to 12,367.84, 18,557.88 and 7,686.46 is: 11,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.84 : 18,557.88 = 7,686.46 : x
  2. Step 2: Convert to fraction form
    12,367.84/18,557.88 = 7,686.46/x
  3. Step 3: Cross multiply
    12,367.84x = 18,557.88 × 7,686.46
  4. Step 4: Simplify right side
    12,367.84x = 142,644,402.30
  5. Step 5: Solve for x
    x = 142,644,402.30/12,367.84
  6. Step 6: Final answer
    x = 11,533.49

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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.