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Finding the Fourth Proportional to 9,386.60, 12,955.84 and 5,612

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Solution

The fourth proportional to 9,386.60, 12,955.84 and 5,612 is: 7,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.60 : 12,955.84 = 5,612 : x
  2. Step 2: Convert to fraction form
    9,386.60/12,955.84 = 5,612/x
  3. Step 3: Cross multiply
    9,386.60x = 12,955.84 × 5,612
  4. Step 4: Simplify right side
    9,386.60x = 72,708,174.08
  5. Step 5: Solve for x
    x = 72,708,174.08/9,386.60
  6. Step 6: Final answer
    x = 7,745.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.