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Finding the Fourth Proportional to 30,800.78, 42,516 and 18,225.50

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Solution

The fourth proportional to 30,800.78, 42,516 and 18,225.50 is: 25,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,800.78 : 42,516 = 18,225.50 : x
  2. Step 2: Convert to fraction form
    30,800.78/42,516 = 18,225.50/x
  3. Step 3: Cross multiply
    30,800.78x = 42,516 × 18,225.50
  4. Step 4: Simplify right side
    30,800.78x = 774,875,358
  5. Step 5: Solve for x
    x = 774,875,358/30,800.78
  6. Step 6: Final answer
    x = 25,157.65

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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.