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Finding the Fourth Proportional to 8,913.54, 12,313.71 and 7,037.58

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Solution

The fourth proportional to 8,913.54, 12,313.71 and 7,037.58 is: 9,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.54 : 12,313.71 = 7,037.58 : x
  2. Step 2: Convert to fraction form
    8,913.54/12,313.71 = 7,037.58/x
  3. Step 3: Cross multiply
    8,913.54x = 12,313.71 × 7,037.58
  4. Step 4: Simplify right side
    8,913.54x = 86,658,719.22
  5. Step 5: Solve for x
    x = 86,658,719.22/8,913.54
  6. Step 6: Final answer
    x = 9,722.14

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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.