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Finding the Fourth Proportional to 9,657.60, 14,486.40 and 7,713.60

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Solution

The fourth proportional to 9,657.60, 14,486.40 and 7,713.60 is: 11,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.60 : 14,486.40 = 7,713.60 : x
  2. Step 2: Convert to fraction form
    9,657.60/14,486.40 = 7,713.60/x
  3. Step 3: Cross multiply
    9,657.60x = 14,486.40 × 7,713.60
  4. Step 4: Simplify right side
    9,657.60x = 111,742,295.04
  5. Step 5: Solve for x
    x = 111,742,295.04/9,657.60
  6. Step 6: Final answer
    x = 11,570.40

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Similar ratio
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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.