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Finding the Fourth Proportional to 21,359.68, 29,474.36 and 12,407

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Solution

The fourth proportional to 21,359.68, 29,474.36 and 12,407 is: 17,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,359.68 : 29,474.36 = 12,407 : x
  2. Step 2: Convert to fraction form
    21,359.68/29,474.36 = 12,407/x
  3. Step 3: Cross multiply
    21,359.68x = 29,474.36 × 12,407
  4. Step 4: Simplify right side
    21,359.68x = 365,688,384.52
  5. Step 5: Solve for x
    x = 365,688,384.52/21,359.68
  6. Step 6: Final answer
    x = 17,120.50

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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.