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Finding the Fourth Proportional to 30,495.90, 45,748.23 and 9,437.70

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Solution

The fourth proportional to 30,495.90, 45,748.23 and 9,437.70 is: 14,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.90 : 45,748.23 = 9,437.70 : x
  2. Step 2: Convert to fraction form
    30,495.90/45,748.23 = 9,437.70/x
  3. Step 3: Cross multiply
    30,495.90x = 45,748.23 × 9,437.70
  4. Step 4: Simplify right side
    30,495.90x = 431,758,070.27
  5. Step 5: Solve for x
    x = 431,758,070.27/30,495.90
  6. Step 6: Final answer
    x = 14,157.91

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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.