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Finding the Fourth Proportional to 12,965.19, 19,442.93 and 5,565.84

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Solution

The fourth proportional to 12,965.19, 19,442.93 and 5,565.84 is: 8,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.19 : 19,442.93 = 5,565.84 : x
  2. Step 2: Convert to fraction form
    12,965.19/19,442.93 = 5,565.84/x
  3. Step 3: Cross multiply
    12,965.19x = 19,442.93 × 5,565.84
  4. Step 4: Simplify right side
    12,965.19x = 108,216,237.51
  5. Step 5: Solve for x
    x = 108,216,237.51/12,965.19
  6. Step 6: Final answer
    x = 8,346.68

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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.