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Finding the Fourth Proportional to 35,655.69, 49,206 and 20,547.15

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Solution

The fourth proportional to 35,655.69, 49,206 and 20,547.15 is: 28,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,655.69 : 49,206 = 20,547.15 : x
  2. Step 2: Convert to fraction form
    35,655.69/49,206 = 20,547.15/x
  3. Step 3: Cross multiply
    35,655.69x = 49,206 × 20,547.15
  4. Step 4: Simplify right side
    35,655.69x = 1,011,043,062.90
  5. Step 5: Solve for x
    x = 1,011,043,062.90/35,655.69
  6. Step 6: Final answer
    x = 28,355.73

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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.