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Finding the Fourth Proportional to 9,590.40, 14,320.80 and 8,294.40

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Solution

The fourth proportional to 9,590.40, 14,320.80 and 8,294.40 is: 12,385.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.40 : 14,320.80 = 8,294.40 : x
  2. Step 2: Convert to fraction form
    9,590.40/14,320.80 = 8,294.40/x
  3. Step 3: Cross multiply
    9,590.40x = 14,320.80 × 8,294.40
  4. Step 4: Simplify right side
    9,590.40x = 118,782,443.52
  5. Step 5: Solve for x
    x = 118,782,443.52/9,590.40
  6. Step 6: Final answer
    x = 12,385.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.