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Finding the Fourth Proportional to 9,702.84, 13,390.08 and 7,580.82

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Solution

The fourth proportional to 9,702.84, 13,390.08 and 7,580.82 is: 10,461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.84 : 13,390.08 = 7,580.82 : x
  2. Step 2: Convert to fraction form
    9,702.84/13,390.08 = 7,580.82/x
  3. Step 3: Cross multiply
    9,702.84x = 13,390.08 × 7,580.82
  4. Step 4: Simplify right side
    9,702.84x = 101,507,786.27
  5. Step 5: Solve for x
    x = 101,507,786.27/9,702.84
  6. Step 6: Final answer
    x = 10,461.66

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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.