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Finding the Fourth Proportional to 30,835.66, 46,271.95 and 13,305.49

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Solution

The fourth proportional to 30,835.66, 46,271.95 and 13,305.49 is: 19,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.66 : 46,271.95 = 13,305.49 : x
  2. Step 2: Convert to fraction form
    30,835.66/46,271.95 = 13,305.49/x
  3. Step 3: Cross multiply
    30,835.66x = 46,271.95 × 13,305.49
  4. Step 4: Simplify right side
    30,835.66x = 615,671,067.05
  5. Step 5: Solve for x
    x = 615,671,067.05/30,835.66
  6. Step 6: Final answer
    x = 19,966.20

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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.