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Finding the Fourth Proportional to 14,868, 20,518.65 and 8,582.40

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Solution

The fourth proportional to 14,868, 20,518.65 and 8,582.40 is: 11,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868 : 20,518.65 = 8,582.40 : x
  2. Step 2: Convert to fraction form
    14,868/20,518.65 = 8,582.40/x
  3. Step 3: Cross multiply
    14,868x = 20,518.65 × 8,582.40
  4. Step 4: Simplify right side
    14,868x = 176,099,261.76
  5. Step 5: Solve for x
    x = 176,099,261.76/14,868
  6. Step 6: Final answer
    x = 11,844.18

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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.