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Finding the Fourth Proportional to 3,032.98, 4,548.48 and 980.50

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Solution

The fourth proportional to 3,032.98, 4,548.48 and 980.50 is: 1,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.98 : 4,548.48 = 980.50 : x
  2. Step 2: Convert to fraction form
    3,032.98/4,548.48 = 980.50/x
  3. Step 3: Cross multiply
    3,032.98x = 4,548.48 × 980.50
  4. Step 4: Simplify right side
    3,032.98x = 4,459,784.64
  5. Step 5: Solve for x
    x = 4,459,784.64/3,032.98
  6. Step 6: Final answer
    x = 1,470.43

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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.