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Finding the Fourth Proportional to 5,661.01, 7,810.05 and 4,172.50

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Solution

The fourth proportional to 5,661.01, 7,810.05 and 4,172.50 is: 5,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.01 : 7,810.05 = 4,172.50 : x
  2. Step 2: Convert to fraction form
    5,661.01/7,810.05 = 4,172.50/x
  3. Step 3: Cross multiply
    5,661.01x = 7,810.05 × 4,172.50
  4. Step 4: Simplify right side
    5,661.01x = 32,587,433.63
  5. Step 5: Solve for x
    x = 32,587,433.63/5,661.01
  6. Step 6: Final answer
    x = 5,756.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.