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Finding the Fourth Proportional to 7,039, 9,711.60 and 4,681.52

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Solution

The fourth proportional to 7,039, 9,711.60 and 4,681.52 is: 6,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039 : 9,711.60 = 4,681.52 : x
  2. Step 2: Convert to fraction form
    7,039/9,711.60 = 4,681.52/x
  3. Step 3: Cross multiply
    7,039x = 9,711.60 × 4,681.52
  4. Step 4: Simplify right side
    7,039x = 45,465,049.63
  5. Step 5: Solve for x
    x = 45,465,049.63/7,039
  6. Step 6: Final answer
    x = 6,459.02

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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.