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Finding the Fourth Proportional to 30,587, 42,206.40 and 17,842.88

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Solution

The fourth proportional to 30,587, 42,206.40 and 17,842.88 is: 24,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,587 : 42,206.40 = 17,842.88 : x
  2. Step 2: Convert to fraction form
    30,587/42,206.40 = 17,842.88/x
  3. Step 3: Cross multiply
    30,587x = 42,206.40 × 17,842.88
  4. Step 4: Simplify right side
    30,587x = 753,083,730.43
  5. Step 5: Solve for x
    x = 753,083,730.43/30,587
  6. Step 6: Final answer
    x = 24,621.04

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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.