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Finding the Fourth Proportional to 13,537.16, 18,681.14 and 7,947.08

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Solution

The fourth proportional to 13,537.16, 18,681.14 and 7,947.08 is: 10,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.16 : 18,681.14 = 7,947.08 : x
  2. Step 2: Convert to fraction form
    13,537.16/18,681.14 = 7,947.08/x
  3. Step 3: Cross multiply
    13,537.16x = 18,681.14 × 7,947.08
  4. Step 4: Simplify right side
    13,537.16x = 148,460,514.07
  5. Step 5: Solve for x
    x = 148,460,514.07/13,537.16
  6. Step 6: Final answer
    x = 10,966.89

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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.