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Finding the Fourth Proportional to 35,602.49, 53,403.72 and 13,420.83

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Solution

The fourth proportional to 35,602.49, 53,403.72 and 13,420.83 is: 20,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,602.49 : 53,403.72 = 13,420.83 : x
  2. Step 2: Convert to fraction form
    35,602.49/53,403.72 = 13,420.83/x
  3. Step 3: Cross multiply
    35,602.49x = 53,403.72 × 13,420.83
  4. Step 4: Simplify right side
    35,602.49x = 716,722,247.49
  5. Step 5: Solve for x
    x = 716,722,247.49/35,602.49
  6. Step 6: Final answer
    x = 20,131.24

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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.