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Finding the Fourth Proportional to 13,528, 18,670.98 and 7,863.40

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Solution

The fourth proportional to 13,528, 18,670.98 and 7,863.40 is: 10,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 18,670.98 = 7,863.40 : x
  2. Step 2: Convert to fraction form
    13,528/18,670.98 = 7,863.40/x
  3. Step 3: Cross multiply
    13,528x = 18,670.98 × 7,863.40
  4. Step 4: Simplify right side
    13,528x = 146,817,384.13
  5. Step 5: Solve for x
    x = 146,817,384.13/13,528
  6. Step 6: Final answer
    x = 10,852.85

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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.