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Finding the Fourth Proportional to 10,763.68, 14,851.27 and 6,284.87

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Solution

The fourth proportional to 10,763.68, 14,851.27 and 6,284.87 is: 8,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.68 : 14,851.27 = 6,284.87 : x
  2. Step 2: Convert to fraction form
    10,763.68/14,851.27 = 6,284.87/x
  3. Step 3: Cross multiply
    10,763.68x = 14,851.27 × 6,284.87
  4. Step 4: Simplify right side
    10,763.68x = 93,338,301.28
  5. Step 5: Solve for x
    x = 93,338,301.28/10,763.68
  6. Step 6: Final answer
    x = 8,671.60

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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.