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Finding the Fourth Proportional to 10,221.93, 14,094 and 7,384.77

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Solution

The fourth proportional to 10,221.93, 14,094 and 7,384.77 is: 10,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.93 : 14,094 = 7,384.77 : x
  2. Step 2: Convert to fraction form
    10,221.93/14,094 = 7,384.77/x
  3. Step 3: Cross multiply
    10,221.93x = 14,094 × 7,384.77
  4. Step 4: Simplify right side
    10,221.93x = 104,080,948.38
  5. Step 5: Solve for x
    x = 104,080,948.38/10,221.93
  6. Step 6: Final answer
    x = 10,182.12

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1.5x scale

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.