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Finding the Fourth Proportional to 12,955.32, 19,413 and 6,284.16

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Solution

The fourth proportional to 12,955.32, 19,413 and 6,284.16 is: 9,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,955.32 : 19,413 = 6,284.16 : x
  2. Step 2: Convert to fraction form
    12,955.32/19,413 = 6,284.16/x
  3. Step 3: Cross multiply
    12,955.32x = 19,413 × 6,284.16
  4. Step 4: Simplify right side
    12,955.32x = 121,994,398.08
  5. Step 5: Solve for x
    x = 121,994,398.08/12,955.32
  6. Step 6: Final answer
    x = 9,416.55

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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.