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Finding the Fourth Proportional to 14,580, 21,870.06 and 8,002.58

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Solution

The fourth proportional to 14,580, 21,870.06 and 8,002.58 is: 12,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580 : 21,870.06 = 8,002.58 : x
  2. Step 2: Convert to fraction form
    14,580/21,870.06 = 8,002.58/x
  3. Step 3: Cross multiply
    14,580x = 21,870.06 × 8,002.58
  4. Step 4: Simplify right side
    14,580x = 175,016,904.75
  5. Step 5: Solve for x
    x = 175,016,904.75/14,580
  6. Step 6: Final answer
    x = 12,003.90

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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.