Home / 7,567.20-10,442.64-4,210

Finding the Fourth Proportional to 7,567.20, 10,442.64 and 4,210

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Solution

The fourth proportional to 7,567.20, 10,442.64 and 4,210 is: 5,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.20 : 10,442.64 = 4,210 : x
  2. Step 2: Convert to fraction form
    7,567.20/10,442.64 = 4,210/x
  3. Step 3: Cross multiply
    7,567.20x = 10,442.64 × 4,210
  4. Step 4: Simplify right side
    7,567.20x = 43,963,514.40
  5. Step 5: Solve for x
    x = 43,963,514.40/7,567.20
  6. Step 6: Final answer
    x = 5,809.75

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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.