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Finding the Fourth Proportional to 10,291.86, 15,415.92 and 5,898.42

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Solution

The fourth proportional to 10,291.86, 15,415.92 and 5,898.42 is: 8,835.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.86 : 15,415.92 = 5,898.42 : x
  2. Step 2: Convert to fraction form
    10,291.86/15,415.92 = 5,898.42/x
  3. Step 3: Cross multiply
    10,291.86x = 15,415.92 × 5,898.42
  4. Step 4: Simplify right side
    10,291.86x = 90,929,570.85
  5. Step 5: Solve for x
    x = 90,929,570.85/10,291.86
  6. Step 6: Final answer
    x = 8,835.10

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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.