Home / 1,478.35-2,039.07-947.24

Finding the Fourth Proportional to 1,478.35, 2,039.07 and 947.24

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Solution

The fourth proportional to 1,478.35, 2,039.07 and 947.24 is: 1,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.35 : 2,039.07 = 947.24 : x
  2. Step 2: Convert to fraction form
    1,478.35/2,039.07 = 947.24/x
  3. Step 3: Cross multiply
    1,478.35x = 2,039.07 × 947.24
  4. Step 4: Simplify right side
    1,478.35x = 1,931,501.14
  5. Step 5: Solve for x
    x = 1,931,501.14/1,478.35
  6. Step 6: Final answer
    x = 1,306.52

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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.