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Finding the Fourth Proportional to 3,088.76, 4,633.12 and 780.26

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Solution

The fourth proportional to 3,088.76, 4,633.12 and 780.26 is: 1,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.76 : 4,633.12 = 780.26 : x
  2. Step 2: Convert to fraction form
    3,088.76/4,633.12 = 780.26/x
  3. Step 3: Cross multiply
    3,088.76x = 4,633.12 × 780.26
  4. Step 4: Simplify right side
    3,088.76x = 3,615,038.21
  5. Step 5: Solve for x
    x = 3,615,038.21/3,088.76
  6. Step 6: Final answer
    x = 1,170.38

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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.