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Finding the Fourth Proportional to 11,378.40, 15,700.32 and 6,597.40

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Solution

The fourth proportional to 11,378.40, 15,700.32 and 6,597.40 is: 9,103.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.40 : 15,700.32 = 6,597.40 : x
  2. Step 2: Convert to fraction form
    11,378.40/15,700.32 = 6,597.40/x
  3. Step 3: Cross multiply
    11,378.40x = 15,700.32 × 6,597.40
  4. Step 4: Simplify right side
    11,378.40x = 103,581,291.17
  5. Step 5: Solve for x
    x = 103,581,291.17/11,378.40
  6. Step 6: Final answer
    x = 9,103.33

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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.