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Finding the Fourth Proportional to 35,378.69, 53,064 and 13,192.79

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Solution

The fourth proportional to 35,378.69, 53,064 and 13,192.79 is: 19,787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.69 : 53,064 = 13,192.79 : x
  2. Step 2: Convert to fraction form
    35,378.69/53,064 = 13,192.79/x
  3. Step 3: Cross multiply
    35,378.69x = 53,064 × 13,192.79
  4. Step 4: Simplify right side
    35,378.69x = 700,061,943.24
  5. Step 5: Solve for x
    x = 700,061,943.24/35,378.69
  6. Step 6: Final answer
    x = 19,787.68

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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.