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Finding the Fourth Proportional to 9,166, 12,652.36 and 5,440

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Solution

The fourth proportional to 9,166, 12,652.36 and 5,440 is: 7,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166 : 12,652.36 = 5,440 : x
  2. Step 2: Convert to fraction form
    9,166/12,652.36 = 5,440/x
  3. Step 3: Cross multiply
    9,166x = 12,652.36 × 5,440
  4. Step 4: Simplify right side
    9,166x = 68,828,838.40
  5. Step 5: Solve for x
    x = 68,828,838.40/9,166
  6. Step 6: Final answer
    x = 7,509.15

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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.