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Finding the Fourth Proportional to 7,870.68, 11,808.90 and 7,407

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Solution

The fourth proportional to 7,870.68, 11,808.90 and 7,407 is: 11,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.68 : 11,808.90 = 7,407 : x
  2. Step 2: Convert to fraction form
    7,870.68/11,808.90 = 7,407/x
  3. Step 3: Cross multiply
    7,870.68x = 11,808.90 × 7,407
  4. Step 4: Simplify right side
    7,870.68x = 87,468,522.30
  5. Step 5: Solve for x
    x = 87,468,522.30/7,870.68
  6. Step 6: Final answer
    x = 11,113.21

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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.