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Finding the Fourth Proportional to 9,907.80, 13,672.24 and 5,430.76

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Solution

The fourth proportional to 9,907.80, 13,672.24 and 5,430.76 is: 7,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.80 : 13,672.24 = 5,430.76 : x
  2. Step 2: Convert to fraction form
    9,907.80/13,672.24 = 5,430.76/x
  3. Step 3: Cross multiply
    9,907.80x = 13,672.24 × 5,430.76
  4. Step 4: Simplify right side
    9,907.80x = 74,250,654.10
  5. Step 5: Solve for x
    x = 74,250,654.10/9,907.80
  6. Step 6: Final answer
    x = 7,494.16

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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.