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Finding the Fourth Proportional to 9,117.84, 12,583.56 and 5,583.40

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Solution

The fourth proportional to 9,117.84, 12,583.56 and 5,583.40 is: 7,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.84 : 12,583.56 = 5,583.40 : x
  2. Step 2: Convert to fraction form
    9,117.84/12,583.56 = 5,583.40/x
  3. Step 3: Cross multiply
    9,117.84x = 12,583.56 × 5,583.40
  4. Step 4: Simplify right side
    9,117.84x = 70,259,048.90
  5. Step 5: Solve for x
    x = 70,259,048.90/9,117.84
  6. Step 6: Final answer
    x = 7,705.67

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.