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Finding the Fourth Proportional to 7,854.61, 11,782.55 and 2,923.06

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Solution

The fourth proportional to 7,854.61, 11,782.55 and 2,923.06 is: 4,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.61 : 11,782.55 = 2,923.06 : x
  2. Step 2: Convert to fraction form
    7,854.61/11,782.55 = 2,923.06/x
  3. Step 3: Cross multiply
    7,854.61x = 11,782.55 × 2,923.06
  4. Step 4: Simplify right side
    7,854.61x = 34,441,027.07
  5. Step 5: Solve for x
    x = 34,441,027.07/7,854.61
  6. Step 6: Final answer
    x = 4,384.82

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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.