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Finding the Fourth Proportional to 9,930, 13,703.76 and 5,454.16

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Solution

The fourth proportional to 9,930, 13,703.76 and 5,454.16 is: 7,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930 : 13,703.76 = 5,454.16 : x
  2. Step 2: Convert to fraction form
    9,930/13,703.76 = 5,454.16/x
  3. Step 3: Cross multiply
    9,930x = 13,703.76 × 5,454.16
  4. Step 4: Simplify right side
    9,930x = 74,742,499.64
  5. Step 5: Solve for x
    x = 74,742,499.64/9,930
  6. Step 6: Final answer
    x = 7,526.94

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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.