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Finding the Fourth Proportional to 10,465, 14,436.62 and 6,931.18

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Solution

The fourth proportional to 10,465, 14,436.62 and 6,931.18 is: 9,561.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465 : 14,436.62 = 6,931.18 : x
  2. Step 2: Convert to fraction form
    10,465/14,436.62 = 6,931.18/x
  3. Step 3: Cross multiply
    10,465x = 14,436.62 × 6,931.18
  4. Step 4: Simplify right side
    10,465x = 100,062,811.81
  5. Step 5: Solve for x
    x = 100,062,811.81/10,465
  6. Step 6: Final answer
    x = 9,561.66

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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.