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Finding the Fourth Proportional to 47,012.80, 70,518.88 and 11,952

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Solution

The fourth proportional to 47,012.80, 70,518.88 and 11,952 is: 17,927.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012.80 : 70,518.88 = 11,952 : x
  2. Step 2: Convert to fraction form
    47,012.80/70,518.88 = 11,952/x
  3. Step 3: Cross multiply
    47,012.80x = 70,518.88 × 11,952
  4. Step 4: Simplify right side
    47,012.80x = 842,841,653.76
  5. Step 5: Solve for x
    x = 842,841,653.76/47,012.80
  6. Step 6: Final answer
    x = 17,927.92

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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.