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Finding the Fourth Proportional to 31,390.03, 47,085.12 and 7,697.68

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Solution

The fourth proportional to 31,390.03, 47,085.12 and 7,697.68 is: 11,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.03 : 47,085.12 = 7,697.68 : x
  2. Step 2: Convert to fraction form
    31,390.03/47,085.12 = 7,697.68/x
  3. Step 3: Cross multiply
    31,390.03x = 47,085.12 × 7,697.68
  4. Step 4: Simplify right side
    31,390.03x = 362,446,186.52
  5. Step 5: Solve for x
    x = 362,446,186.52/31,390.03
  6. Step 6: Final answer
    x = 11,546.54

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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.