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Finding the Fourth Proportional to 2,356.47, 3,531.15 and 2,148.98

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Solution

The fourth proportional to 2,356.47, 3,531.15 and 2,148.98 is: 3,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.47 : 3,531.15 = 2,148.98 : x
  2. Step 2: Convert to fraction form
    2,356.47/3,531.15 = 2,148.98/x
  3. Step 3: Cross multiply
    2,356.47x = 3,531.15 × 2,148.98
  4. Step 4: Simplify right side
    2,356.47x = 7,588,353.07
  5. Step 5: Solve for x
    x = 7,588,353.07/2,356.47
  6. Step 6: Final answer
    x = 3,220.22

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1.5x scale

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.