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Finding the Fourth Proportional to 30,464.16, 45,700 and 14,870

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Solution

The fourth proportional to 30,464.16, 45,700 and 14,870 is: 22,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,464.16 : 45,700 = 14,870 : x
  2. Step 2: Convert to fraction form
    30,464.16/45,700 = 14,870/x
  3. Step 3: Cross multiply
    30,464.16x = 45,700 × 14,870
  4. Step 4: Simplify right side
    30,464.16x = 679,559,000
  5. Step 5: Solve for x
    x = 679,559,000/30,464.16
  6. Step 6: Final answer
    x = 22,306.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.