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Finding the Fourth Proportional to 12,381.79, 18,547.90 and 7,448.68

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Solution

The fourth proportional to 12,381.79, 18,547.90 and 7,448.68 is: 11,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.79 : 18,547.90 = 7,448.68 : x
  2. Step 2: Convert to fraction form
    12,381.79/18,547.90 = 7,448.68/x
  3. Step 3: Cross multiply
    12,381.79x = 18,547.90 × 7,448.68
  4. Step 4: Simplify right side
    12,381.79x = 138,157,371.77
  5. Step 5: Solve for x
    x = 138,157,371.77/12,381.79
  6. Step 6: Final answer
    x = 11,158.11

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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.