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Finding the Fourth Proportional to 29,700, 40,985.28 and 16,271.84

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Solution

The fourth proportional to 29,700, 40,985.28 and 16,271.84 is: 22,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,700 : 40,985.28 = 16,271.84 : x
  2. Step 2: Convert to fraction form
    29,700/40,985.28 = 16,271.84/x
  3. Step 3: Cross multiply
    29,700x = 40,985.28 × 16,271.84
  4. Step 4: Simplify right side
    29,700x = 666,905,918.52
  5. Step 5: Solve for x
    x = 666,905,918.52/29,700
  6. Step 6: Final answer
    x = 22,454.74

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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.