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Finding the Fourth Proportional to 13,507, 18,641.55 and 9,742.63

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Solution

The fourth proportional to 13,507, 18,641.55 and 9,742.63 is: 13,446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507 : 18,641.55 = 9,742.63 : x
  2. Step 2: Convert to fraction form
    13,507/18,641.55 = 9,742.63/x
  3. Step 3: Cross multiply
    13,507x = 18,641.55 × 9,742.63
  4. Step 4: Simplify right side
    13,507x = 181,617,724.28
  5. Step 5: Solve for x
    x = 181,617,724.28/13,507
  6. Step 6: Final answer
    x = 13,446.19

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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.