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Finding the Fourth Proportional to 12,506.88, 17,259.60 and 6,918.24

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Solution

The fourth proportional to 12,506.88, 17,259.60 and 6,918.24 is: 9,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.88 : 17,259.60 = 6,918.24 : x
  2. Step 2: Convert to fraction form
    12,506.88/17,259.60 = 6,918.24/x
  3. Step 3: Cross multiply
    12,506.88x = 17,259.60 × 6,918.24
  4. Step 4: Simplify right side
    12,506.88x = 119,406,055.10
  5. Step 5: Solve for x
    x = 119,406,055.10/12,506.88
  6. Step 6: Final answer
    x = 9,547.23

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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.