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Finding the Fourth Proportional to 19,431, 26,813.70 and 11,471.40

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Solution

The fourth proportional to 19,431, 26,813.70 and 11,471.40 is: 15,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431 : 26,813.70 = 11,471.40 : x
  2. Step 2: Convert to fraction form
    19,431/26,813.70 = 11,471.40/x
  3. Step 3: Cross multiply
    19,431x = 26,813.70 × 11,471.40
  4. Step 4: Simplify right side
    19,431x = 307,590,678.18
  5. Step 5: Solve for x
    x = 307,590,678.18/19,431
  6. Step 6: Final answer
    x = 15,829.89

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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.