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Finding the Fourth Proportional to 10,300.40, 15,411.60 and 6,844.40

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Solution

The fourth proportional to 10,300.40, 15,411.60 and 6,844.40 is: 10,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.40 : 15,411.60 = 6,844.40 : x
  2. Step 2: Convert to fraction form
    10,300.40/15,411.60 = 6,844.40/x
  3. Step 3: Cross multiply
    10,300.40x = 15,411.60 × 6,844.40
  4. Step 4: Simplify right side
    10,300.40x = 105,483,155.04
  5. Step 5: Solve for x
    x = 105,483,155.04/10,300.40
  6. Step 6: Final answer
    x = 10,240.69

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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.