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Finding the Fourth Proportional to 9,490, 13,096.26 and 5,298.28

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Solution

The fourth proportional to 9,490, 13,096.26 and 5,298.28 is: 7,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490 : 13,096.26 = 5,298.28 : x
  2. Step 2: Convert to fraction form
    9,490/13,096.26 = 5,298.28/x
  3. Step 3: Cross multiply
    9,490x = 13,096.26 × 5,298.28
  4. Step 4: Simplify right side
    9,490x = 69,387,652.43
  5. Step 5: Solve for x
    x = 69,387,652.43/9,490
  6. Step 6: Final answer
    x = 7,311.66

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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.