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Finding the Fourth Proportional to 7,019, 9,686.10 and 3,875.12

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Solution

The fourth proportional to 7,019, 9,686.10 and 3,875.12 is: 5,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,019 : 9,686.10 = 3,875.12 : x
  2. Step 2: Convert to fraction form
    7,019/9,686.10 = 3,875.12/x
  3. Step 3: Cross multiply
    7,019x = 9,686.10 × 3,875.12
  4. Step 4: Simplify right side
    7,019x = 37,534,799.83
  5. Step 5: Solve for x
    x = 37,534,799.83/7,019
  6. Step 6: Final answer
    x = 5,347.60

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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.