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Finding the Fourth Proportional to 9,210.99, 12,712.10 and 5,435.31

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Solution

The fourth proportional to 9,210.99, 12,712.10 and 5,435.31 is: 7,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.99 : 12,712.10 = 5,435.31 : x
  2. Step 2: Convert to fraction form
    9,210.99/12,712.10 = 5,435.31/x
  3. Step 3: Cross multiply
    9,210.99x = 12,712.10 × 5,435.31
  4. Step 4: Simplify right side
    9,210.99x = 69,094,177.07
  5. Step 5: Solve for x
    x = 69,094,177.07/9,210.99
  6. Step 6: Final answer
    x = 7,501.28

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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.