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Finding the Fourth Proportional to 10,087.65, 13,920.93 and 5,611.68

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Solution

The fourth proportional to 10,087.65, 13,920.93 and 5,611.68 is: 7,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.65 : 13,920.93 = 5,611.68 : x
  2. Step 2: Convert to fraction form
    10,087.65/13,920.93 = 5,611.68/x
  3. Step 3: Cross multiply
    10,087.65x = 13,920.93 × 5,611.68
  4. Step 4: Simplify right side
    10,087.65x = 78,119,804.46
  5. Step 5: Solve for x
    x = 78,119,804.46/10,087.65
  6. Step 6: Final answer
    x = 7,744.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.