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Finding the Fourth Proportional to 9,779.76, 13,484.70 and 7,128.36

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Solution

The fourth proportional to 9,779.76, 13,484.70 and 7,128.36 is: 9,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.76 : 13,484.70 = 7,128.36 : x
  2. Step 2: Convert to fraction form
    9,779.76/13,484.70 = 7,128.36/x
  3. Step 3: Cross multiply
    9,779.76x = 13,484.70 × 7,128.36
  4. Step 4: Simplify right side
    9,779.76x = 96,123,796.09
  5. Step 5: Solve for x
    x = 96,123,796.09/9,779.76
  6. Step 6: Final answer
    x = 9,828.85

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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.