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Finding the Fourth Proportional to 30,707.76, 42,369.84 and 18,125.76

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Solution

The fourth proportional to 30,707.76, 42,369.84 and 18,125.76 is: 25,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.76 : 42,369.84 = 18,125.76 : x
  2. Step 2: Convert to fraction form
    30,707.76/42,369.84 = 18,125.76/x
  3. Step 3: Cross multiply
    30,707.76x = 42,369.84 × 18,125.76
  4. Step 4: Simplify right side
    30,707.76x = 767,985,551.08
  5. Step 5: Solve for x
    x = 767,985,551.08/30,707.76
  6. Step 6: Final answer
    x = 25,009.49

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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.