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Finding the Fourth Proportional to 30,291.96, 45,443.70 and 9,521.40

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Solution

The fourth proportional to 30,291.96, 45,443.70 and 9,521.40 is: 14,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291.96 : 45,443.70 = 9,521.40 : x
  2. Step 2: Convert to fraction form
    30,291.96/45,443.70 = 9,521.40/x
  3. Step 3: Cross multiply
    30,291.96x = 45,443.70 × 9,521.40
  4. Step 4: Simplify right side
    30,291.96x = 432,687,645.18
  5. Step 5: Solve for x
    x = 432,687,645.18/30,291.96
  6. Step 6: Final answer
    x = 14,283.91

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1.5x scale

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.