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Finding the Fourth Proportional to 10,352.40, 14,288.31 and 6,815.40

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Solution

The fourth proportional to 10,352.40, 14,288.31 and 6,815.40 is: 9,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.40 : 14,288.31 = 6,815.40 : x
  2. Step 2: Convert to fraction form
    10,352.40/14,288.31 = 6,815.40/x
  3. Step 3: Cross multiply
    10,352.40x = 14,288.31 × 6,815.40
  4. Step 4: Simplify right side
    10,352.40x = 97,380,547.97
  5. Step 5: Solve for x
    x = 97,380,547.97/10,352.40
  6. Step 6: Final answer
    x = 9,406.57

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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.