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Finding the Fourth Proportional to 9,977.60, 14,973.60 and 5,590.40

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Solution

The fourth proportional to 9,977.60, 14,973.60 and 5,590.40 is: 8,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.60 : 14,973.60 = 5,590.40 : x
  2. Step 2: Convert to fraction form
    9,977.60/14,973.60 = 5,590.40/x
  3. Step 3: Cross multiply
    9,977.60x = 14,973.60 × 5,590.40
  4. Step 4: Simplify right side
    9,977.60x = 83,708,413.44
  5. Step 5: Solve for x
    x = 83,708,413.44/9,977.60
  6. Step 6: Final answer
    x = 8,389.63

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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.