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Finding the Fourth Proportional to 19,859, 27,405.42 and 11,475.50

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Solution

The fourth proportional to 19,859, 27,405.42 and 11,475.50 is: 15,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859 : 27,405.42 = 11,475.50 : x
  2. Step 2: Convert to fraction form
    19,859/27,405.42 = 11,475.50/x
  3. Step 3: Cross multiply
    19,859x = 27,405.42 × 11,475.50
  4. Step 4: Simplify right side
    19,859x = 314,490,897.21
  5. Step 5: Solve for x
    x = 314,490,897.21/19,859
  6. Step 6: Final answer
    x = 15,836.19

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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.