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Finding the Fourth Proportional to 2,547.68, 3,515.68 and 1,428.44

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Solution

The fourth proportional to 2,547.68, 3,515.68 and 1,428.44 is: 1,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.68 : 3,515.68 = 1,428.44 : x
  2. Step 2: Convert to fraction form
    2,547.68/3,515.68 = 1,428.44/x
  3. Step 3: Cross multiply
    2,547.68x = 3,515.68 × 1,428.44
  4. Step 4: Simplify right side
    2,547.68x = 5,021,937.94
  5. Step 5: Solve for x
    x = 5,021,937.94/2,547.68
  6. Step 6: Final answer
    x = 1,971.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.