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Finding the Fourth Proportional to 40,403.63, 55,756.47 and 22,254

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Solution

The fourth proportional to 40,403.63, 55,756.47 and 22,254 is: 30,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,403.63 : 55,756.47 = 22,254 : x
  2. Step 2: Convert to fraction form
    40,403.63/55,756.47 = 22,254/x
  3. Step 3: Cross multiply
    40,403.63x = 55,756.47 × 22,254
  4. Step 4: Simplify right side
    40,403.63x = 1,240,804,483.38
  5. Step 5: Solve for x
    x = 1,240,804,483.38/40,403.63
  6. Step 6: Final answer
    x = 30,710.22

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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.