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Finding the Fourth Proportional to 35,533, 49,037.12 and 20,430.56

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Solution

The fourth proportional to 35,533, 49,037.12 and 20,430.56 is: 28,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533 : 49,037.12 = 20,430.56 : x
  2. Step 2: Convert to fraction form
    35,533/49,037.12 = 20,430.56/x
  3. Step 3: Cross multiply
    35,533x = 49,037.12 × 20,430.56
  4. Step 4: Simplify right side
    35,533x = 1,001,855,822.39
  5. Step 5: Solve for x
    x = 1,001,855,822.39/35,533
  6. Step 6: Final answer
    x = 28,195.08

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1.5x scale

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.