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Finding the Fourth Proportional to 30,952, 42,714.52 and 19,008.56

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Solution

The fourth proportional to 30,952, 42,714.52 and 19,008.56 is: 26,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952 : 42,714.52 = 19,008.56 : x
  2. Step 2: Convert to fraction form
    30,952/42,714.52 = 19,008.56/x
  3. Step 3: Cross multiply
    30,952x = 42,714.52 × 19,008.56
  4. Step 4: Simplify right side
    30,952x = 811,941,516.29
  5. Step 5: Solve for x
    x = 811,941,516.29/30,952
  6. Step 6: Final answer
    x = 26,232.28

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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.