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Finding the Fourth Proportional to 2,931.84, 4,397.76 and 2,776.32

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Solution

The fourth proportional to 2,931.84, 4,397.76 and 2,776.32 is: 4,164.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.84 : 4,397.76 = 2,776.32 : x
  2. Step 2: Convert to fraction form
    2,931.84/4,397.76 = 2,776.32/x
  3. Step 3: Cross multiply
    2,931.84x = 4,397.76 × 2,776.32
  4. Step 4: Simplify right side
    2,931.84x = 12,209,589.04
  5. Step 5: Solve for x
    x = 12,209,589.04/2,931.84
  6. Step 6: Final answer
    x = 4,164.48

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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.