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Finding the Fourth Proportional to 7,870.61, 11,819.07 and 4,915.93

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Solution

The fourth proportional to 7,870.61, 11,819.07 and 4,915.93 is: 7,382.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.61 : 11,819.07 = 4,915.93 : x
  2. Step 2: Convert to fraction form
    7,870.61/11,819.07 = 4,915.93/x
  3. Step 3: Cross multiply
    7,870.61x = 11,819.07 × 4,915.93
  4. Step 4: Simplify right side
    7,870.61x = 58,101,661.69
  5. Step 5: Solve for x
    x = 58,101,661.69/7,870.61
  6. Step 6: Final answer
    x = 7,382.11

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Why These Related Problems?

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