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Finding the Fourth Proportional to 7,064, 9,713.76 and 6,130.88

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Solution

The fourth proportional to 7,064, 9,713.76 and 6,130.88 is: 8,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,064 : 9,713.76 = 6,130.88 : x
  2. Step 2: Convert to fraction form
    7,064/9,713.76 = 6,130.88/x
  3. Step 3: Cross multiply
    7,064x = 9,713.76 × 6,130.88
  4. Step 4: Simplify right side
    7,064x = 59,553,896.91
  5. Step 5: Solve for x
    x = 59,553,896.91/7,064
  6. Step 6: Final answer
    x = 8,430.62

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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.