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Finding the Fourth Proportional to 14,464, 21,681.24 and 8,210.80

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Solution

The fourth proportional to 14,464, 21,681.24 and 8,210.80 is: 12,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464 : 21,681.24 = 8,210.80 : x
  2. Step 2: Convert to fraction form
    14,464/21,681.24 = 8,210.80/x
  3. Step 3: Cross multiply
    14,464x = 21,681.24 × 8,210.80
  4. Step 4: Simplify right side
    14,464x = 178,020,325.39
  5. Step 5: Solve for x
    x = 178,020,325.39/14,464
  6. Step 6: Final answer
    x = 12,307.82

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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.