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Finding the Fourth Proportional to 7,031, 9,715.60 and 6,689.28

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Solution

The fourth proportional to 7,031, 9,715.60 and 6,689.28 is: 9,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031 : 9,715.60 = 6,689.28 : x
  2. Step 2: Convert to fraction form
    7,031/9,715.60 = 6,689.28/x
  3. Step 3: Cross multiply
    7,031x = 9,715.60 × 6,689.28
  4. Step 4: Simplify right side
    7,031x = 64,990,368.77
  5. Step 5: Solve for x
    x = 64,990,368.77/7,031
  6. Step 6: Final answer
    x = 9,243.40

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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.