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Finding the Fourth Proportional to 10,427.64, 15,641.46 and 3,507

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Solution

The fourth proportional to 10,427.64, 15,641.46 and 3,507 is: 5,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.64 : 15,641.46 = 3,507 : x
  2. Step 2: Convert to fraction form
    10,427.64/15,641.46 = 3,507/x
  3. Step 3: Cross multiply
    10,427.64x = 15,641.46 × 3,507
  4. Step 4: Simplify right side
    10,427.64x = 54,854,600.22
  5. Step 5: Solve for x
    x = 54,854,600.22/10,427.64
  6. Step 6: Final answer
    x = 5,260.50

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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.