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Finding the Fourth Proportional to 21,530.76, 29,714.10 and 12,457.76

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Solution

The fourth proportional to 21,530.76, 29,714.10 and 12,457.76 is: 17,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530.76 : 29,714.10 = 12,457.76 : x
  2. Step 2: Convert to fraction form
    21,530.76/29,714.10 = 12,457.76/x
  3. Step 3: Cross multiply
    21,530.76x = 29,714.10 × 12,457.76
  4. Step 4: Simplify right side
    21,530.76x = 370,171,126.42
  5. Step 5: Solve for x
    x = 370,171,126.42/21,530.76
  6. Step 6: Final answer
    x = 17,192.66

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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.