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Finding the Fourth Proportional to 14,285, 19,721.94 and 9,325.64

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Solution

The fourth proportional to 14,285, 19,721.94 and 9,325.64 is: 12,875.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,285 : 19,721.94 = 9,325.64 : x
  2. Step 2: Convert to fraction form
    14,285/19,721.94 = 9,325.64/x
  3. Step 3: Cross multiply
    14,285x = 19,721.94 × 9,325.64
  4. Step 4: Simplify right side
    14,285x = 183,919,712.54
  5. Step 5: Solve for x
    x = 183,919,712.54/14,285
  6. Step 6: Final answer
    x = 12,875.02

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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.