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Finding the Fourth Proportional to 35,604, 53,415.12 and 13,417.56

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Solution

The fourth proportional to 35,604, 53,415.12 and 13,417.56 is: 20,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,604 : 53,415.12 = 13,417.56 : x
  2. Step 2: Convert to fraction form
    35,604/53,415.12 = 13,417.56/x
  3. Step 3: Cross multiply
    35,604x = 53,415.12 × 13,417.56
  4. Step 4: Simplify right side
    35,604x = 716,700,577.51
  5. Step 5: Solve for x
    x = 716,700,577.51/35,604
  6. Step 6: Final answer
    x = 20,129.78

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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.