Home / 1,693.72-2,337.42-947.66

Finding the Fourth Proportional to 1,693.72, 2,337.42 and 947.66

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Solution

The fourth proportional to 1,693.72, 2,337.42 and 947.66 is: 1,307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.72 : 2,337.42 = 947.66 : x
  2. Step 2: Convert to fraction form
    1,693.72/2,337.42 = 947.66/x
  3. Step 3: Cross multiply
    1,693.72x = 2,337.42 × 947.66
  4. Step 4: Simplify right side
    1,693.72x = 2,215,079.44
  5. Step 5: Solve for x
    x = 2,215,079.44/1,693.72
  6. Step 6: Final answer
    x = 1,307.82

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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.