Home / 31,784.07-47,657.64-12,051.86

Finding the Fourth Proportional to 31,784.07, 47,657.64 and 12,051.86

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Solution

The fourth proportional to 31,784.07, 47,657.64 and 12,051.86 is: 18,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.07 : 47,657.64 = 12,051.86 : x
  2. Step 2: Convert to fraction form
    31,784.07/47,657.64 = 12,051.86/x
  3. Step 3: Cross multiply
    31,784.07x = 47,657.64 × 12,051.86
  4. Step 4: Simplify right side
    31,784.07x = 574,362,966.92
  5. Step 5: Solve for x
    x = 574,362,966.92/31,784.07
  6. Step 6: Final answer
    x = 18,070.78

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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.