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Finding the Fourth Proportional to 9,967.78, 13,750.05 and 6,988.06

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Solution

The fourth proportional to 9,967.78, 13,750.05 and 6,988.06 is: 9,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.78 : 13,750.05 = 6,988.06 : x
  2. Step 2: Convert to fraction form
    9,967.78/13,750.05 = 6,988.06/x
  3. Step 3: Cross multiply
    9,967.78x = 13,750.05 × 6,988.06
  4. Step 4: Simplify right side
    9,967.78x = 96,086,174.40
  5. Step 5: Solve for x
    x = 96,086,174.40/9,967.78
  6. Step 6: Final answer
    x = 9,639.68

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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.