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Finding the Fourth Proportional to 30,802.95, 42,508.04 and 16,655.76

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Solution

The fourth proportional to 30,802.95, 42,508.04 and 16,655.76 is: 22,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.95 : 42,508.04 = 16,655.76 : x
  2. Step 2: Convert to fraction form
    30,802.95/42,508.04 = 16,655.76/x
  3. Step 3: Cross multiply
    30,802.95x = 42,508.04 × 16,655.76
  4. Step 4: Simplify right side
    30,802.95x = 708,003,629.03
  5. Step 5: Solve for x
    x = 708,003,629.03/30,802.95
  6. Step 6: Final answer
    x = 22,984.93

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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.