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Finding the Fourth Proportional to 7,870.61, 11,810.00 and 3,487.04

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Solution

The fourth proportional to 7,870.61, 11,810.00 and 3,487.04 is: 5,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.61 : 11,810.00 = 3,487.04 : x
  2. Step 2: Convert to fraction form
    7,870.61/11,810.00 = 3,487.04/x
  3. Step 3: Cross multiply
    7,870.61x = 11,810.00 × 3,487.04
  4. Step 4: Simplify right side
    7,870.61x = 41,181,865.91
  5. Step 5: Solve for x
    x = 41,181,865.91/7,870.61
  6. Step 6: Final answer
    x = 5,232.36

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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.