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Finding the Fourth Proportional to 27,985.60, 42,010.80 and 16,148.80

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Solution

The fourth proportional to 27,985.60, 42,010.80 and 16,148.80 is: 24,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.60 : 42,010.80 = 16,148.80 : x
  2. Step 2: Convert to fraction form
    27,985.60/42,010.80 = 16,148.80/x
  3. Step 3: Cross multiply
    27,985.60x = 42,010.80 × 16,148.80
  4. Step 4: Simplify right side
    27,985.60x = 678,424,007.04
  5. Step 5: Solve for x
    x = 678,424,007.04/27,985.60
  6. Step 6: Final answer
    x = 24,241.90

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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.