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Finding the Fourth Proportional to 21,158.92, 31,740.48 and 7,835.47

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Solution

The fourth proportional to 21,158.92, 31,740.48 and 7,835.47 is: 11,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,158.92 : 31,740.48 = 7,835.47 : x
  2. Step 2: Convert to fraction form
    21,158.92/31,740.48 = 7,835.47/x
  3. Step 3: Cross multiply
    21,158.92x = 31,740.48 × 7,835.47
  4. Step 4: Simplify right side
    21,158.92x = 248,701,578.83
  5. Step 5: Solve for x
    x = 248,701,578.83/21,158.92
  6. Step 6: Final answer
    x = 11,753.98

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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.