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Finding the Fourth Proportional to 9,172.56, 12,658 and 4,980.80

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Solution

The fourth proportional to 9,172.56, 12,658 and 4,980.80 is: 6,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.56 : 12,658 = 4,980.80 : x
  2. Step 2: Convert to fraction form
    9,172.56/12,658 = 4,980.80/x
  3. Step 3: Cross multiply
    9,172.56x = 12,658 × 4,980.80
  4. Step 4: Simplify right side
    9,172.56x = 63,046,966.40
  5. Step 5: Solve for x
    x = 63,046,966.40/9,172.56
  6. Step 6: Final answer
    x = 6,873.43

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1.5x scale

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.