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Finding the Fourth Proportional to 30,667.71, 46,019.42 and 12,897.08

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Solution

The fourth proportional to 30,667.71, 46,019.42 and 12,897.08 is: 19,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.71 : 46,019.42 = 12,897.08 : x
  2. Step 2: Convert to fraction form
    30,667.71/46,019.42 = 12,897.08/x
  3. Step 3: Cross multiply
    30,667.71x = 46,019.42 × 12,897.08
  4. Step 4: Simplify right side
    30,667.71x = 593,516,141.29
  5. Step 5: Solve for x
    x = 593,516,141.29/30,667.71
  6. Step 6: Final answer
    x = 19,353.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.