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Finding the Fourth Proportional to 30,762.81, 42,447.51 and 17,147.88

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Solution

The fourth proportional to 30,762.81, 42,447.51 and 17,147.88 is: 23,661.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.81 : 42,447.51 = 17,147.88 : x
  2. Step 2: Convert to fraction form
    30,762.81/42,447.51 = 17,147.88/x
  3. Step 3: Cross multiply
    30,762.81x = 42,447.51 × 17,147.88
  4. Step 4: Simplify right side
    30,762.81x = 727,884,807.78
  5. Step 5: Solve for x
    x = 727,884,807.78/30,762.81
  6. Step 6: Final answer
    x = 23,661.19

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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.