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Finding the Fourth Proportional to 10,185.66, 15,282.54 and 9,368.64

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Solution

The fourth proportional to 10,185.66, 15,282.54 and 9,368.64 is: 14,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.66 : 15,282.54 = 9,368.64 : x
  2. Step 2: Convert to fraction form
    10,185.66/15,282.54 = 9,368.64/x
  3. Step 3: Cross multiply
    10,185.66x = 15,282.54 × 9,368.64
  4. Step 4: Simplify right side
    10,185.66x = 143,176,615.55
  5. Step 5: Solve for x
    x = 143,176,615.55/10,185.66
  6. Step 6: Final answer
    x = 14,056.69

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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.