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Finding the Fourth Proportional to 4,642.88, 6,407.28 and 2,547

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Solution

The fourth proportional to 4,642.88, 6,407.28 and 2,547 is: 3,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.88 : 6,407.28 = 2,547 : x
  2. Step 2: Convert to fraction form
    4,642.88/6,407.28 = 2,547/x
  3. Step 3: Cross multiply
    4,642.88x = 6,407.28 × 2,547
  4. Step 4: Simplify right side
    4,642.88x = 16,319,342.16
  5. Step 5: Solve for x
    x = 16,319,342.16/4,642.88
  6. Step 6: Final answer
    x = 3,514.92

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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.