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Finding the Fourth Proportional to 11,909.70, 17,870.64 and 4,895.10

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Solution

The fourth proportional to 11,909.70, 17,870.64 and 4,895.10 is: 7,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.70 : 17,870.64 = 4,895.10 : x
  2. Step 2: Convert to fraction form
    11,909.70/17,870.64 = 4,895.10/x
  3. Step 3: Cross multiply
    11,909.70x = 17,870.64 × 4,895.10
  4. Step 4: Simplify right side
    11,909.70x = 87,478,569.86
  5. Step 5: Solve for x
    x = 87,478,569.86/11,909.70
  6. Step 6: Final answer
    x = 7,345.15

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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.