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Finding the Fourth Proportional to 30,642.91, 45,977.63 and 12,878.19

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Solution

The fourth proportional to 30,642.91, 45,977.63 and 12,878.19 is: 19,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.91 : 45,977.63 = 12,878.19 : x
  2. Step 2: Convert to fraction form
    30,642.91/45,977.63 = 12,878.19/x
  3. Step 3: Cross multiply
    30,642.91x = 45,977.63 × 12,878.19
  4. Step 4: Simplify right side
    30,642.91x = 592,108,590.50
  5. Step 5: Solve for x
    x = 592,108,590.50/30,642.91
  6. Step 6: Final answer
    x = 19,322.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.