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Finding the Fourth Proportional to 42,894.40, 64,347.81 and 13,314.61

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Solution

The fourth proportional to 42,894.40, 64,347.81 and 13,314.61 is: 19,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.40 : 64,347.81 = 13,314.61 : x
  2. Step 2: Convert to fraction form
    42,894.40/64,347.81 = 13,314.61/x
  3. Step 3: Cross multiply
    42,894.40x = 64,347.81 × 13,314.61
  4. Step 4: Simplify right side
    42,894.40x = 856,765,994.50
  5. Step 5: Solve for x
    x = 856,765,994.50/42,894.40
  6. Step 6: Final answer
    x = 19,973.84

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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.