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Finding the Fourth Proportional to 11,291.64, 15,585.86 and 7,313.04

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Solution

The fourth proportional to 11,291.64, 15,585.86 and 7,313.04 is: 10,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.64 : 15,585.86 = 7,313.04 : x
  2. Step 2: Convert to fraction form
    11,291.64/15,585.86 = 7,313.04/x
  3. Step 3: Cross multiply
    11,291.64x = 15,585.86 × 7,313.04
  4. Step 4: Simplify right side
    11,291.64x = 113,980,017.61
  5. Step 5: Solve for x
    x = 113,980,017.61/11,291.64
  6. Step 6: Final answer
    x = 10,094.20

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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.