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Finding the Fourth Proportional to 10,799.48, 14,909.74 and 7,812.20

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Solution

The fourth proportional to 10,799.48, 14,909.74 and 7,812.20 is: 10,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,799.48 : 14,909.74 = 7,812.20 : x
  2. Step 2: Convert to fraction form
    10,799.48/14,909.74 = 7,812.20/x
  3. Step 3: Cross multiply
    10,799.48x = 14,909.74 × 7,812.20
  4. Step 4: Simplify right side
    10,799.48x = 116,477,870.83
  5. Step 5: Solve for x
    x = 116,477,870.83/10,799.48
  6. Step 6: Final answer
    x = 10,785.51

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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.