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Finding the Fourth Proportional to 14,580, 21,860.28 and 6,784.56

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Solution

The fourth proportional to 14,580, 21,860.28 and 6,784.56 is: 10,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 21,860.28 = 6,784.56 : x
  2. Step 2: Convert to fraction form
    14,580/21,860.28 = 6,784.56/x
  3. Step 3: Cross multiply
    14,580x = 21,860.28 × 6,784.56
  4. Step 4: Simplify right side
    14,580x = 148,312,381.28
  5. Step 5: Solve for x
    x = 148,312,381.28/14,580
  6. Step 6: Final answer
    x = 10,172.32

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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.