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Finding the Fourth Proportional to 9,507, 13,119.94 and 5,315.26

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Solution

The fourth proportional to 9,507, 13,119.94 and 5,315.26 is: 7,335.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507 : 13,119.94 = 5,315.26 : x
  2. Step 2: Convert to fraction form
    9,507/13,119.94 = 5,315.26/x
  3. Step 3: Cross multiply
    9,507x = 13,119.94 × 5,315.26
  4. Step 4: Simplify right side
    9,507x = 69,735,892.28
  5. Step 5: Solve for x
    x = 69,735,892.28/9,507
  6. Step 6: Final answer
    x = 7,335.22

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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.