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Finding the Fourth Proportional to 21,106.58, 31,644.14 and 7,058.30

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Solution

The fourth proportional to 21,106.58, 31,644.14 and 7,058.30 is: 10,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.58 : 31,644.14 = 7,058.30 : x
  2. Step 2: Convert to fraction form
    21,106.58/31,644.14 = 7,058.30/x
  3. Step 3: Cross multiply
    21,106.58x = 31,644.14 × 7,058.30
  4. Step 4: Simplify right side
    21,106.58x = 223,353,833.36
  5. Step 5: Solve for x
    x = 223,353,833.36/21,106.58
  6. Step 6: Final answer
    x = 10,582.19

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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.