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Finding the Fourth Proportional to 9,640.76, 13,308.14 and 6,506.04

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Solution

The fourth proportional to 9,640.76, 13,308.14 and 6,506.04 is: 8,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.76 : 13,308.14 = 6,506.04 : x
  2. Step 2: Convert to fraction form
    9,640.76/13,308.14 = 6,506.04/x
  3. Step 3: Cross multiply
    9,640.76x = 13,308.14 × 6,506.04
  4. Step 4: Simplify right side
    9,640.76x = 86,583,291.17
  5. Step 5: Solve for x
    x = 86,583,291.17/9,640.76
  6. Step 6: Final answer
    x = 8,980.96

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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.