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Finding the Fourth Proportional to 15,770.81, 23,670.80 and 7,985.09

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Solution

The fourth proportional to 15,770.81, 23,670.80 and 7,985.09 is: 11,985.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.81 : 23,670.80 = 7,985.09 : x
  2. Step 2: Convert to fraction form
    15,770.81/23,670.80 = 7,985.09/x
  3. Step 3: Cross multiply
    15,770.81x = 23,670.80 × 7,985.09
  4. Step 4: Simplify right side
    15,770.81x = 189,013,468.37
  5. Step 5: Solve for x
    x = 189,013,468.37/15,770.81
  6. Step 6: Final answer
    x = 11,985.02

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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.