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Finding the Fourth Proportional to 9,657.50, 13,329.97 and 7,907.90

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Solution

The fourth proportional to 9,657.50, 13,329.97 and 7,907.90 is: 10,915.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.50 : 13,329.97 = 7,907.90 : x
  2. Step 2: Convert to fraction form
    9,657.50/13,329.97 = 7,907.90/x
  3. Step 3: Cross multiply
    9,657.50x = 13,329.97 × 7,907.90
  4. Step 4: Simplify right side
    9,657.50x = 105,411,983.34
  5. Step 5: Solve for x
    x = 105,411,983.34/9,657.50
  6. Step 6: Final answer
    x = 10,915.04

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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.