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Finding the Fourth Proportional to 35,456.40, 53,184.60 and 30,531.60

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Solution

The fourth proportional to 35,456.40, 53,184.60 and 30,531.60 is: 45,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,456.40 : 53,184.60 = 30,531.60 : x
  2. Step 2: Convert to fraction form
    35,456.40/53,184.60 = 30,531.60/x
  3. Step 3: Cross multiply
    35,456.40x = 53,184.60 × 30,531.60
  4. Step 4: Simplify right side
    35,456.40x = 1,623,810,933.36
  5. Step 5: Solve for x
    x = 1,623,810,933.36/35,456.40
  6. Step 6: Final answer
    x = 45,797.40

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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.