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Finding the Fourth Proportional to 7,280, 10,969.58 and 6,484.34

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Solution

The fourth proportional to 7,280, 10,969.58 and 6,484.34 is: 9,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,280 : 10,969.58 = 6,484.34 : x
  2. Step 2: Convert to fraction form
    7,280/10,969.58 = 6,484.34/x
  3. Step 3: Cross multiply
    7,280x = 10,969.58 × 6,484.34
  4. Step 4: Simplify right side
    7,280x = 71,130,486.38
  5. Step 5: Solve for x
    x = 71,130,486.38/7,280
  6. Step 6: Final answer
    x = 9,770.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.