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Finding the Fourth Proportional to 4,693.16, 7,039.78 and 1,407.20

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Solution

The fourth proportional to 4,693.16, 7,039.78 and 1,407.20 is: 2,110.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.16 : 7,039.78 = 1,407.20 : x
  2. Step 2: Convert to fraction form
    4,693.16/7,039.78 = 1,407.20/x
  3. Step 3: Cross multiply
    4,693.16x = 7,039.78 × 1,407.20
  4. Step 4: Simplify right side
    4,693.16x = 9,906,339.70
  5. Step 5: Solve for x
    x = 9,906,339.70/4,693.16
  6. Step 6: Final answer
    x = 2,110.80

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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.