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Finding the Fourth Proportional to 30,590.92, 42,214.02 and 16,978.12

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Solution

The fourth proportional to 30,590.92, 42,214.02 and 16,978.12 is: 23,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,590.92 : 42,214.02 = 16,978.12 : x
  2. Step 2: Convert to fraction form
    30,590.92/42,214.02 = 16,978.12/x
  3. Step 3: Cross multiply
    30,590.92x = 42,214.02 × 16,978.12
  4. Step 4: Simplify right side
    30,590.92x = 716,714,697.24
  5. Step 5: Solve for x
    x = 716,714,697.24/30,590.92
  6. Step 6: Final answer
    x = 23,429.00

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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.