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Finding the Fourth Proportional to 7,307.80, 10,905.65 and 5,655.40

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Solution

The fourth proportional to 7,307.80, 10,905.65 and 5,655.40 is: 8,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.80 : 10,905.65 = 5,655.40 : x
  2. Step 2: Convert to fraction form
    7,307.80/10,905.65 = 5,655.40/x
  3. Step 3: Cross multiply
    7,307.80x = 10,905.65 × 5,655.40
  4. Step 4: Simplify right side
    7,307.80x = 61,675,813.01
  5. Step 5: Solve for x
    x = 61,675,813.01/7,307.80
  6. Step 6: Final answer
    x = 8,439.72

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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.