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Finding the Fourth Proportional to 30,412.38, 45,606.96 and 14,613

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Solution

The fourth proportional to 30,412.38, 45,606.96 and 14,613 is: 21,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.38 : 45,606.96 = 14,613 : x
  2. Step 2: Convert to fraction form
    30,412.38/45,606.96 = 14,613/x
  3. Step 3: Cross multiply
    30,412.38x = 45,606.96 × 14,613
  4. Step 4: Simplify right side
    30,412.38x = 666,454,506.48
  5. Step 5: Solve for x
    x = 666,454,506.48/30,412.38
  6. Step 6: Final answer
    x = 21,913.92

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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.