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Finding the Fourth Proportional to 9,324, 13,988.16 and 6,722.28

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Solution

The fourth proportional to 9,324, 13,988.16 and 6,722.28 is: 10,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 13,988.16 = 6,722.28 : x
  2. Step 2: Convert to fraction form
    9,324/13,988.16 = 6,722.28/x
  3. Step 3: Cross multiply
    9,324x = 13,988.16 × 6,722.28
  4. Step 4: Simplify right side
    9,324x = 94,032,328.20
  5. Step 5: Solve for x
    x = 94,032,328.20/9,324
  6. Step 6: Final answer
    x = 10,084.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.