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Finding the Fourth Proportional to 3,172.19, 4,758.51 and 980.63

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Solution

The fourth proportional to 3,172.19, 4,758.51 and 980.63 is: 1,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.19 : 4,758.51 = 980.63 : x
  2. Step 2: Convert to fraction form
    3,172.19/4,758.51 = 980.63/x
  3. Step 3: Cross multiply
    3,172.19x = 4,758.51 × 980.63
  4. Step 4: Simplify right side
    3,172.19x = 4,666,347.11
  5. Step 5: Solve for x
    x = 4,666,347.11/3,172.19
  6. Step 6: Final answer
    x = 1,471.02

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1.5x scale

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.