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Finding the Fourth Proportional to 7,038.68, 9,715.26 and 4,384.50

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Solution

The fourth proportional to 7,038.68, 9,715.26 and 4,384.50 is: 6,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.68 : 9,715.26 = 4,384.50 : x
  2. Step 2: Convert to fraction form
    7,038.68/9,715.26 = 4,384.50/x
  3. Step 3: Cross multiply
    7,038.68x = 9,715.26 × 4,384.50
  4. Step 4: Simplify right side
    7,038.68x = 42,596,557.47
  5. Step 5: Solve for x
    x = 42,596,557.47/7,038.68
  6. Step 6: Final answer
    x = 6,051.78

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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.