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Finding the Fourth Proportional to 7,552, 10,422.40 and 4,240.64

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Solution

The fourth proportional to 7,552, 10,422.40 and 4,240.64 is: 5,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552 : 10,422.40 = 4,240.64 : x
  2. Step 2: Convert to fraction form
    7,552/10,422.40 = 4,240.64/x
  3. Step 3: Cross multiply
    7,552x = 10,422.40 × 4,240.64
  4. Step 4: Simplify right side
    7,552x = 44,197,646.34
  5. Step 5: Solve for x
    x = 44,197,646.34/7,552
  6. Step 6: Final answer
    x = 5,852.44

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1.5x scale

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.