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Finding the Fourth Proportional to 1,703.63, 2,351.03 and 947.42

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Solution

The fourth proportional to 1,703.63, 2,351.03 and 947.42 is: 1,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.63 : 2,351.03 = 947.42 : x
  2. Step 2: Convert to fraction form
    1,703.63/2,351.03 = 947.42/x
  3. Step 3: Cross multiply
    1,703.63x = 2,351.03 × 947.42
  4. Step 4: Simplify right side
    1,703.63x = 2,227,412.84
  5. Step 5: Solve for x
    x = 2,227,412.84/1,703.63
  6. Step 6: Final answer
    x = 1,307.45

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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.