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Finding the Fourth Proportional to 35,382, 53,071.86 and 12,008.64

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Solution

The fourth proportional to 35,382, 53,071.86 and 12,008.64 is: 18,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,382 : 53,071.86 = 12,008.64 : x
  2. Step 2: Convert to fraction form
    35,382/53,071.86 = 12,008.64/x
  3. Step 3: Cross multiply
    35,382x = 53,071.86 × 12,008.64
  4. Step 4: Simplify right side
    35,382x = 637,320,860.87
  5. Step 5: Solve for x
    x = 637,320,860.87/35,382
  6. Step 6: Final answer
    x = 18,012.57

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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.