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Finding the Fourth Proportional to 30,992.40, 42,780.48 and 18,417

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Solution

The fourth proportional to 30,992.40, 42,780.48 and 18,417 is: 25,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992.40 : 42,780.48 = 18,417 : x
  2. Step 2: Convert to fraction form
    30,992.40/42,780.48 = 18,417/x
  3. Step 3: Cross multiply
    30,992.40x = 42,780.48 × 18,417
  4. Step 4: Simplify right side
    30,992.40x = 787,888,100.16
  5. Step 5: Solve for x
    x = 787,888,100.16/30,992.40
  6. Step 6: Final answer
    x = 25,421.98

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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.