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Finding the Fourth Proportional to 4,547.05, 6,822.24 and 1,915.21

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Solution

The fourth proportional to 4,547.05, 6,822.24 and 1,915.21 is: 2,873.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.05 : 6,822.24 = 1,915.21 : x
  2. Step 2: Convert to fraction form
    4,547.05/6,822.24 = 1,915.21/x
  3. Step 3: Cross multiply
    4,547.05x = 6,822.24 × 1,915.21
  4. Step 4: Simplify right side
    4,547.05x = 13,066,023.62
  5. Step 5: Solve for x
    x = 13,066,023.62/4,547.05
  6. Step 6: Final answer
    x = 2,873.52

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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.