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Finding the Fourth Proportional to 23,420, 32,345.76 and 18,178.40

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Solution

The fourth proportional to 23,420, 32,345.76 and 18,178.40 is: 25,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420 : 32,345.76 = 18,178.40 : x
  2. Step 2: Convert to fraction form
    23,420/32,345.76 = 18,178.40/x
  3. Step 3: Cross multiply
    23,420x = 32,345.76 × 18,178.40
  4. Step 4: Simplify right side
    23,420x = 587,994,163.58
  5. Step 5: Solve for x
    x = 587,994,163.58/23,420
  6. Step 6: Final answer
    x = 25,106.50

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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.