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Finding the Fourth Proportional to 15,710.16, 21,690.18 and 10,412.16

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Solution

The fourth proportional to 15,710.16, 21,690.18 and 10,412.16 is: 14,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.16 : 21,690.18 = 10,412.16 : x
  2. Step 2: Convert to fraction form
    15,710.16/21,690.18 = 10,412.16/x
  3. Step 3: Cross multiply
    15,710.16x = 21,690.18 × 10,412.16
  4. Step 4: Simplify right side
    15,710.16x = 225,841,639.77
  5. Step 5: Solve for x
    x = 225,841,639.77/15,710.16
  6. Step 6: Final answer
    x = 14,375.51

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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.