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Finding the Fourth Proportional to 9,779.12, 13,495 and 5,530.12

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Solution

The fourth proportional to 9,779.12, 13,495 and 5,530.12 is: 7,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.12 : 13,495 = 5,530.12 : x
  2. Step 2: Convert to fraction form
    9,779.12/13,495 = 5,530.12/x
  3. Step 3: Cross multiply
    9,779.12x = 13,495 × 5,530.12
  4. Step 4: Simplify right side
    9,779.12x = 74,628,969.40
  5. Step 5: Solve for x
    x = 74,628,969.40/9,779.12
  6. Step 6: Final answer
    x = 7,631.46

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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.