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Finding the Fourth Proportional to 10,298.98, 15,448.47 and 4,142.98

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Solution

The fourth proportional to 10,298.98, 15,448.47 and 4,142.98 is: 6,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.98 : 15,448.47 = 4,142.98 : x
  2. Step 2: Convert to fraction form
    10,298.98/15,448.47 = 4,142.98/x
  3. Step 3: Cross multiply
    10,298.98x = 15,448.47 × 4,142.98
  4. Step 4: Simplify right side
    10,298.98x = 64,002,702.24
  5. Step 5: Solve for x
    x = 64,002,702.24/10,298.98
  6. Step 6: Final answer
    x = 6,214.47

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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.