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Finding the Fourth Proportional to 21,043.47, 31,557.01 and 7,888.67

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Solution

The fourth proportional to 21,043.47, 31,557.01 and 7,888.67 is: 11,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.47 : 31,557.01 = 7,888.67 : x
  2. Step 2: Convert to fraction form
    21,043.47/31,557.01 = 7,888.67/x
  3. Step 3: Cross multiply
    21,043.47x = 31,557.01 × 7,888.67
  4. Step 4: Simplify right side
    21,043.47x = 248,942,838.08
  5. Step 5: Solve for x
    x = 248,942,838.08/21,043.47
  6. Step 6: Final answer
    x = 11,829.93

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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.