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Finding the Fourth Proportional to 21,335.68, 31,984.16 and 7,477.12

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Solution

The fourth proportional to 21,335.68, 31,984.16 and 7,477.12 is: 11,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.68 : 31,984.16 = 7,477.12 : x
  2. Step 2: Convert to fraction form
    21,335.68/31,984.16 = 7,477.12/x
  3. Step 3: Cross multiply
    21,335.68x = 31,984.16 × 7,477.12
  4. Step 4: Simplify right side
    21,335.68x = 239,149,402.42
  5. Step 5: Solve for x
    x = 239,149,402.42/21,335.68
  6. Step 6: Final answer
    x = 11,208.90

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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.