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Finding the Fourth Proportional to 7,177.84, 9,900.12 and 5,409.52

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Solution

The fourth proportional to 7,177.84, 9,900.12 and 5,409.52 is: 7,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.84 : 9,900.12 = 5,409.52 : x
  2. Step 2: Convert to fraction form
    7,177.84/9,900.12 = 5,409.52/x
  3. Step 3: Cross multiply
    7,177.84x = 9,900.12 × 5,409.52
  4. Step 4: Simplify right side
    7,177.84x = 53,554,897.14
  5. Step 5: Solve for x
    x = 53,554,897.14/7,177.84
  6. Step 6: Final answer
    x = 7,461.14

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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.