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Finding the Fourth Proportional to 9,807, 13,533.72 and 5,615.52

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Solution

The fourth proportional to 9,807, 13,533.72 and 5,615.52 is: 7,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807 : 13,533.72 = 5,615.52 : x
  2. Step 2: Convert to fraction form
    9,807/13,533.72 = 5,615.52/x
  3. Step 3: Cross multiply
    9,807x = 13,533.72 × 5,615.52
  4. Step 4: Simplify right side
    9,807x = 75,998,875.33
  5. Step 5: Solve for x
    x = 75,998,875.33/9,807
  6. Step 6: Final answer
    x = 7,749.45

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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.