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Finding the Fourth Proportional to 12,653.18, 17,461.40 and 7,064.18

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Solution

The fourth proportional to 12,653.18, 17,461.40 and 7,064.18 is: 9,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.18 : 17,461.40 = 7,064.18 : x
  2. Step 2: Convert to fraction form
    12,653.18/17,461.40 = 7,064.18/x
  3. Step 3: Cross multiply
    12,653.18x = 17,461.40 × 7,064.18
  4. Step 4: Simplify right side
    12,653.18x = 123,350,472.65
  5. Step 5: Solve for x
    x = 123,350,472.65/12,653.18
  6. Step 6: Final answer
    x = 9,748.57

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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.