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Finding the Fourth Proportional to 9,779.88, 13,496.16 and 5,303.64

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Solution

The fourth proportional to 9,779.88, 13,496.16 and 5,303.64 is: 7,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.88 : 13,496.16 = 5,303.64 : x
  2. Step 2: Convert to fraction form
    9,779.88/13,496.16 = 5,303.64/x
  3. Step 3: Cross multiply
    9,779.88x = 13,496.16 × 5,303.64
  4. Step 4: Simplify right side
    9,779.88x = 71,578,774.02
  5. Step 5: Solve for x
    x = 71,578,774.02/9,779.88
  6. Step 6: Final answer
    x = 7,318.98

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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.