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Finding the Fourth Proportional to 13,781.51, 20,671.99 and 4,547.51

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Solution

The fourth proportional to 13,781.51, 20,671.99 and 4,547.51 is: 6,821.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.51 : 20,671.99 = 4,547.51 : x
  2. Step 2: Convert to fraction form
    13,781.51/20,671.99 = 4,547.51/x
  3. Step 3: Cross multiply
    13,781.51x = 20,671.99 × 4,547.51
  4. Step 4: Simplify right side
    13,781.51x = 94,006,081.24
  5. Step 5: Solve for x
    x = 94,006,081.24/13,781.51
  6. Step 6: Final answer
    x = 6,821.17

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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.