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Finding the Fourth Proportional to 14,820.40, 22,122.41 and 12,952

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Solution

The fourth proportional to 14,820.40, 22,122.41 and 12,952 is: 19,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820.40 : 22,122.41 = 12,952 : x
  2. Step 2: Convert to fraction form
    14,820.40/22,122.41 = 12,952/x
  3. Step 3: Cross multiply
    14,820.40x = 22,122.41 × 12,952
  4. Step 4: Simplify right side
    14,820.40x = 286,529,454.32
  5. Step 5: Solve for x
    x = 286,529,454.32/14,820.40
  6. Step 6: Final answer
    x = 19,333.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.