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Finding the Fourth Proportional to 30,955.50, 42,642 and 26,403.30

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Solution

The fourth proportional to 30,955.50, 42,642 and 26,403.30 is: 36,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,955.50 : 42,642 = 26,403.30 : x
  2. Step 2: Convert to fraction form
    30,955.50/42,642 = 26,403.30/x
  3. Step 3: Cross multiply
    30,955.50x = 42,642 × 26,403.30
  4. Step 4: Simplify right side
    30,955.50x = 1,125,889,518.60
  5. Step 5: Solve for x
    x = 1,125,889,518.60/30,955.50
  6. Step 6: Final answer
    x = 36,371.23

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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.