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Finding the Fourth Proportional to 1,415.06, 1,953.12 and 943.70

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Solution

The fourth proportional to 1,415.06, 1,953.12 and 943.70 is: 1,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.06 : 1,953.12 = 943.70 : x
  2. Step 2: Convert to fraction form
    1,415.06/1,953.12 = 943.70/x
  3. Step 3: Cross multiply
    1,415.06x = 1,953.12 × 943.70
  4. Step 4: Simplify right side
    1,415.06x = 1,843,159.34
  5. Step 5: Solve for x
    x = 1,843,159.34/1,415.06
  6. Step 6: Final answer
    x = 1,302.53

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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.