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Finding the Fourth Proportional to 31,483.44, 47,211.80 and 11,748.20

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Solution

The fourth proportional to 31,483.44, 47,211.80 and 11,748.20 is: 17,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.44 : 47,211.80 = 11,748.20 : x
  2. Step 2: Convert to fraction form
    31,483.44/47,211.80 = 11,748.20/x
  3. Step 3: Cross multiply
    31,483.44x = 47,211.80 × 11,748.20
  4. Step 4: Simplify right side
    31,483.44x = 554,653,668.76
  5. Step 5: Solve for x
    x = 554,653,668.76/31,483.44
  6. Step 6: Final answer
    x = 17,617.31

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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.