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Finding the Fourth Proportional to 9,672.80, 14,503.80 and 4,125.20

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Solution

The fourth proportional to 9,672.80, 14,503.80 and 4,125.20 is: 6,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.80 : 14,503.80 = 4,125.20 : x
  2. Step 2: Convert to fraction form
    9,672.80/14,503.80 = 4,125.20/x
  3. Step 3: Cross multiply
    9,672.80x = 14,503.80 × 4,125.20
  4. Step 4: Simplify right side
    9,672.80x = 59,831,075.76
  5. Step 5: Solve for x
    x = 59,831,075.76/9,672.80
  6. Step 6: Final answer
    x = 6,185.50

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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.