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Finding the Fourth Proportional to 10,335.42, 15,428.16 and 9,564.48

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Solution

The fourth proportional to 10,335.42, 15,428.16 and 9,564.48 is: 14,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.42 : 15,428.16 = 9,564.48 : x
  2. Step 2: Convert to fraction form
    10,335.42/15,428.16 = 9,564.48/x
  3. Step 3: Cross multiply
    10,335.42x = 15,428.16 × 9,564.48
  4. Step 4: Simplify right side
    10,335.42x = 147,562,327.76
  5. Step 5: Solve for x
    x = 147,562,327.76/10,335.42
  6. Step 6: Final answer
    x = 14,277.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.