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Finding the Fourth Proportional to 22,700, 31,330.14 and 21,703.70

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Solution

The fourth proportional to 22,700, 31,330.14 and 21,703.70 is: 29,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,700 : 31,330.14 = 21,703.70 : x
  2. Step 2: Convert to fraction form
    22,700/31,330.14 = 21,703.70/x
  3. Step 3: Cross multiply
    22,700x = 31,330.14 × 21,703.70
  4. Step 4: Simplify right side
    22,700x = 679,979,959.52
  5. Step 5: Solve for x
    x = 679,979,959.52/22,700
  6. Step 6: Final answer
    x = 29,955.06

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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.