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Finding the Fourth Proportional to 1,750.05, 2,415.20 and 964.10

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Solution

The fourth proportional to 1,750.05, 2,415.20 and 964.10 is: 1,330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.05 : 2,415.20 = 964.10 : x
  2. Step 2: Convert to fraction form
    1,750.05/2,415.20 = 964.10/x
  3. Step 3: Cross multiply
    1,750.05x = 2,415.20 × 964.10
  4. Step 4: Simplify right side
    1,750.05x = 2,328,494.32
  5. Step 5: Solve for x
    x = 2,328,494.32/1,750.05
  6. Step 6: Final answer
    x = 1,330.53

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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.