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Finding the Fourth Proportional to 35,394.85, 53,083.74 and 10,428.13

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Solution

The fourth proportional to 35,394.85, 53,083.74 and 10,428.13 is: 15,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,394.85 : 53,083.74 = 10,428.13 : x
  2. Step 2: Convert to fraction form
    35,394.85/53,083.74 = 10,428.13/x
  3. Step 3: Cross multiply
    35,394.85x = 53,083.74 × 10,428.13
  4. Step 4: Simplify right side
    35,394.85x = 553,564,141.61
  5. Step 5: Solve for x
    x = 553,564,141.61/35,394.85
  6. Step 6: Final answer
    x = 15,639.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.