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Finding the Fourth Proportional to 35,980.40, 53,970.60 and 9,687.80

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Solution

The fourth proportional to 35,980.40, 53,970.60 and 9,687.80 is: 14,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.40 : 53,970.60 = 9,687.80 : x
  2. Step 2: Convert to fraction form
    35,980.40/53,970.60 = 9,687.80/x
  3. Step 3: Cross multiply
    35,980.40x = 53,970.60 × 9,687.80
  4. Step 4: Simplify right side
    35,980.40x = 522,856,549.94
  5. Step 5: Solve for x
    x = 522,856,549.94/35,980.40
  6. Step 6: Final answer
    x = 14,531.70

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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.