Home / 2,434.40-3,649.02-971.52

Finding the Fourth Proportional to 2,434.40, 3,649.02 and 971.52

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Solution

The fourth proportional to 2,434.40, 3,649.02 and 971.52 is: 1,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.40 : 3,649.02 = 971.52 : x
  2. Step 2: Convert to fraction form
    2,434.40/3,649.02 = 971.52/x
  3. Step 3: Cross multiply
    2,434.40x = 3,649.02 × 971.52
  4. Step 4: Simplify right side
    2,434.40x = 3,545,095.91
  5. Step 5: Solve for x
    x = 3,545,095.91/2,434.40
  6. Step 6: Final answer
    x = 1,456.25

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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.