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Finding the Fourth Proportional to 30,568.79, 45,848.23 and 8,377.02

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Solution

The fourth proportional to 30,568.79, 45,848.23 and 8,377.02 is: 12,564.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,568.79 : 45,848.23 = 8,377.02 : x
  2. Step 2: Convert to fraction form
    30,568.79/45,848.23 = 8,377.02/x
  3. Step 3: Cross multiply
    30,568.79x = 45,848.23 × 8,377.02
  4. Step 4: Simplify right side
    30,568.79x = 384,071,518.73
  5. Step 5: Solve for x
    x = 384,071,518.73/30,568.79
  6. Step 6: Final answer
    x = 12,564.17

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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.