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Finding the Fourth Proportional to 9,602.40, 14,394.96 and 4,980

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Solution

The fourth proportional to 9,602.40, 14,394.96 and 4,980 is: 7,465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.40 : 14,394.96 = 4,980 : x
  2. Step 2: Convert to fraction form
    9,602.40/14,394.96 = 4,980/x
  3. Step 3: Cross multiply
    9,602.40x = 14,394.96 × 4,980
  4. Step 4: Simplify right side
    9,602.40x = 71,686,900.80
  5. Step 5: Solve for x
    x = 71,686,900.80/9,602.40
  6. Step 6: Final answer
    x = 7,465.52

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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.