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Finding the Fourth Proportional to 2,547, 3,515.44 and 1,499.40

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Solution

The fourth proportional to 2,547, 3,515.44 and 1,499.40 is: 2,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547 : 3,515.44 = 1,499.40 : x
  2. Step 2: Convert to fraction form
    2,547/3,515.44 = 1,499.40/x
  3. Step 3: Cross multiply
    2,547x = 3,515.44 × 1,499.40
  4. Step 4: Simplify right side
    2,547x = 5,271,050.74
  5. Step 5: Solve for x
    x = 5,271,050.74/2,547
  6. Step 6: Final answer
    x = 2,069.51

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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.