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Finding the Fourth Proportional to 10,335.90, 13,964.40 and 10,335.90

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Solution

The fourth proportional to 10,335.90, 13,964.40 and 10,335.90 is: 13,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.90 : 13,964.40 = 10,335.90 : x
  2. Step 2: Convert to fraction form
    10,335.90/13,964.40 = 10,335.90/x
  3. Step 3: Cross multiply
    10,335.90x = 13,964.40 × 10,335.90
  4. Step 4: Simplify right side
    10,335.90x = 144,334,641.96
  5. Step 5: Solve for x
    x = 144,334,641.96/10,335.90
  6. Step 6: Final answer
    x = 13,964.40

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.