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Finding the Fourth Proportional to 10,405.40, 15,608.10 and 6,250.10

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Solution

The fourth proportional to 10,405.40, 15,608.10 and 6,250.10 is: 9,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.40 : 15,608.10 = 6,250.10 : x
  2. Step 2: Convert to fraction form
    10,405.40/15,608.10 = 6,250.10/x
  3. Step 3: Cross multiply
    10,405.40x = 15,608.10 × 6,250.10
  4. Step 4: Simplify right side
    10,405.40x = 97,552,185.81
  5. Step 5: Solve for x
    x = 97,552,185.81/10,405.40
  6. Step 6: Final answer
    x = 9,375.15

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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.