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Finding the Fourth Proportional to 19,429, 26,807.70 and 11,471.56

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Solution

The fourth proportional to 19,429, 26,807.70 and 11,471.56 is: 15,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,429 : 26,807.70 = 11,471.56 : x
  2. Step 2: Convert to fraction form
    19,429/26,807.70 = 11,471.56/x
  3. Step 3: Cross multiply
    19,429x = 26,807.70 × 11,471.56
  4. Step 4: Simplify right side
    19,429x = 307,526,139.01
  5. Step 5: Solve for x
    x = 307,526,139.01/19,429
  6. Step 6: Final answer
    x = 15,828.20

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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.