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Finding the Fourth Proportional to 35,859.76, 53,814.14 and 12,486.20

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Solution

The fourth proportional to 35,859.76, 53,814.14 and 12,486.20 is: 18,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,859.76 : 53,814.14 = 12,486.20 : x
  2. Step 2: Convert to fraction form
    35,859.76/53,814.14 = 12,486.20/x
  3. Step 3: Cross multiply
    35,859.76x = 53,814.14 × 12,486.20
  4. Step 4: Simplify right side
    35,859.76x = 671,933,830.19
  5. Step 5: Solve for x
    x = 671,933,830.19/35,859.76
  6. Step 6: Final answer
    x = 18,737.82

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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.