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Finding the Fourth Proportional to 21,457.66, 29,608.74 and 11,897.08

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Solution

The fourth proportional to 21,457.66, 29,608.74 and 11,897.08 is: 16,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,457.66 : 29,608.74 = 11,897.08 : x
  2. Step 2: Convert to fraction form
    21,457.66/29,608.74 = 11,897.08/x
  3. Step 3: Cross multiply
    21,457.66x = 29,608.74 × 11,897.08
  4. Step 4: Simplify right side
    21,457.66x = 352,257,474.46
  5. Step 5: Solve for x
    x = 352,257,474.46/21,457.66
  6. Step 6: Final answer
    x = 16,416.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.