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Finding the Fourth Proportional to 1,930.24, 2,895.08 and 631.56

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Solution

The fourth proportional to 1,930.24, 2,895.08 and 631.56 is: 947.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.24 : 2,895.08 = 631.56 : x
  2. Step 2: Convert to fraction form
    1,930.24/2,895.08 = 631.56/x
  3. Step 3: Cross multiply
    1,930.24x = 2,895.08 × 631.56
  4. Step 4: Simplify right side
    1,930.24x = 1,828,416.72
  5. Step 5: Solve for x
    x = 1,828,416.72/1,930.24
  6. Step 6: Final answer
    x = 947.25

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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.