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Finding the Fourth Proportional to 30,647.90, 45,971.89 and 10,656.02

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Solution

The fourth proportional to 30,647.90, 45,971.89 and 10,656.02 is: 15,984.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,647.90 : 45,971.89 = 10,656.02 : x
  2. Step 2: Convert to fraction form
    30,647.90/45,971.89 = 10,656.02/x
  3. Step 3: Cross multiply
    30,647.90x = 45,971.89 × 10,656.02
  4. Step 4: Simplify right side
    30,647.90x = 489,877,467.57
  5. Step 5: Solve for x
    x = 489,877,467.57/30,647.90
  6. Step 6: Final answer
    x = 15,984.05

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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.