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Finding the Fourth Proportional to 30,804.42, 42,510.11 and 16,657.26

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Solution

The fourth proportional to 30,804.42, 42,510.11 and 16,657.26 is: 22,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.42 : 42,510.11 = 16,657.26 : x
  2. Step 2: Convert to fraction form
    30,804.42/42,510.11 = 16,657.26/x
  3. Step 3: Cross multiply
    30,804.42x = 42,510.11 × 16,657.26
  4. Step 4: Simplify right side
    30,804.42x = 708,101,871.61
  5. Step 5: Solve for x
    x = 708,101,871.61/30,804.42
  6. Step 6: Final answer
    x = 22,987.02

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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.