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Finding the Fourth Proportional to 30,585, 42,203.64 and 17,840.88

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Solution

The fourth proportional to 30,585, 42,203.64 and 17,840.88 is: 24,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,585 : 42,203.64 = 17,840.88 : x
  2. Step 2: Convert to fraction form
    30,585/42,203.64 = 17,840.88/x
  3. Step 3: Cross multiply
    30,585x = 42,203.64 × 17,840.88
  4. Step 4: Simplify right side
    30,585x = 752,950,076.80
  5. Step 5: Solve for x
    x = 752,950,076.80/30,585
  6. Step 6: Final answer
    x = 24,618.28

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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.