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Finding the Fourth Proportional to 12,296.80, 16,987.08 and 10,547.20

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Solution

The fourth proportional to 12,296.80, 16,987.08 and 10,547.20 is: 14,570.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.80 : 16,987.08 = 10,547.20 : x
  2. Step 2: Convert to fraction form
    12,296.80/16,987.08 = 10,547.20/x
  3. Step 3: Cross multiply
    12,296.80x = 16,987.08 × 10,547.20
  4. Step 4: Simplify right side
    12,296.80x = 179,166,130.18
  5. Step 5: Solve for x
    x = 179,166,130.18/12,296.80
  6. Step 6: Final answer
    x = 14,570.14

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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.