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Finding the Fourth Proportional to 4,547.12, 6,822.34 and 1,915.28

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Solution

The fourth proportional to 4,547.12, 6,822.34 and 1,915.28 is: 2,873.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.12 : 6,822.34 = 1,915.28 : x
  2. Step 2: Convert to fraction form
    4,547.12/6,822.34 = 1,915.28/x
  3. Step 3: Cross multiply
    4,547.12x = 6,822.34 × 1,915.28
  4. Step 4: Simplify right side
    4,547.12x = 13,066,709.51
  5. Step 5: Solve for x
    x = 13,066,709.51/4,547.12
  6. Step 6: Final answer
    x = 2,873.62

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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.