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Finding the Fourth Proportional to 2,621.16, 3,931.74 and 977.28

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Solution

The fourth proportional to 2,621.16, 3,931.74 and 977.28 is: 1,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.16 : 3,931.74 = 977.28 : x
  2. Step 2: Convert to fraction form
    2,621.16/3,931.74 = 977.28/x
  3. Step 3: Cross multiply
    2,621.16x = 3,931.74 × 977.28
  4. Step 4: Simplify right side
    2,621.16x = 3,842,410.87
  5. Step 5: Solve for x
    x = 3,842,410.87/2,621.16
  6. Step 6: Final answer
    x = 1,465.92

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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.