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Finding the Fourth Proportional to 14,056.40, 19,402.44 and 9,865.68

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Solution

The fourth proportional to 14,056.40, 19,402.44 and 9,865.68 is: 13,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056.40 : 19,402.44 = 9,865.68 : x
  2. Step 2: Convert to fraction form
    14,056.40/19,402.44 = 9,865.68/x
  3. Step 3: Cross multiply
    14,056.40x = 19,402.44 × 9,865.68
  4. Step 4: Simplify right side
    14,056.40x = 191,418,264.26
  5. Step 5: Solve for x
    x = 191,418,264.26/14,056.40
  6. Step 6: Final answer
    x = 13,617.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.