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Finding the Fourth Proportional to 11,762.30, 17,643.45 and 9,167.18

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Solution

The fourth proportional to 11,762.30, 17,643.45 and 9,167.18 is: 13,750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.30 : 17,643.45 = 9,167.18 : x
  2. Step 2: Convert to fraction form
    11,762.30/17,643.45 = 9,167.18/x
  3. Step 3: Cross multiply
    11,762.30x = 17,643.45 × 9,167.18
  4. Step 4: Simplify right side
    11,762.30x = 161,740,681.97
  5. Step 5: Solve for x
    x = 161,740,681.97/11,762.30
  6. Step 6: Final answer
    x = 13,750.77

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1.5x scale

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.