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Finding the Fourth Proportional to 5,250.54, 7,875.78 and 1,552.50

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Solution

The fourth proportional to 5,250.54, 7,875.78 and 1,552.50 is: 2,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.54 : 7,875.78 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    5,250.54/7,875.78 = 1,552.50/x
  3. Step 3: Cross multiply
    5,250.54x = 7,875.78 × 1,552.50
  4. Step 4: Simplify right side
    5,250.54x = 12,227,148.45
  5. Step 5: Solve for x
    x = 12,227,148.45/5,250.54
  6. Step 6: Final answer
    x = 2,328.74

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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.