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Finding the Fourth Proportional to 21,312.64, 31,978.17 and 11,440.38

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Solution

The fourth proportional to 21,312.64, 31,978.17 and 11,440.38 is: 17,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.64 : 31,978.17 = 11,440.38 : x
  2. Step 2: Convert to fraction form
    21,312.64/31,978.17 = 11,440.38/x
  3. Step 3: Cross multiply
    21,312.64x = 31,978.17 × 11,440.38
  4. Step 4: Simplify right side
    21,312.64x = 365,842,416.50
  5. Step 5: Solve for x
    x = 365,842,416.50/21,312.64
  6. Step 6: Final answer
    x = 17,165.51

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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.