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Finding the Fourth Proportional to 20,853, 28,777.14 and 11,421.77

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Solution

The fourth proportional to 20,853, 28,777.14 and 11,421.77 is: 15,762.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853 : 28,777.14 = 11,421.77 : x
  2. Step 2: Convert to fraction form
    20,853/28,777.14 = 11,421.77/x
  3. Step 3: Cross multiply
    20,853x = 28,777.14 × 11,421.77
  4. Step 4: Simplify right side
    20,853x = 328,685,730.45
  5. Step 5: Solve for x
    x = 328,685,730.45/20,853
  6. Step 6: Final answer
    x = 15,762.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.